Edit Profile (opens in new tab) Jaffe, Arthur Michael Compute Distance To: Compute Author ID: jaffe.arthur-m Published as: Jaffe, Arthur; Jaffe, A.; Jaffe, A. M.; Jaffe, Arthur M. External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 107 Publications since 1962, including 4 Books 11 Contributions as Editor · 4 Further Contributions Biographic References: 1 Publication Co-Authors: 80 Co-Authors with 86 Joint Publications 2,459 Co-Co-Authors all top 5 Co-Authors 32 single-authored 18 Lesniewski, Andrzej 17 Glimm, James G. 7 Liu, Zhengwei 5 Osterwalder, Konrad 5 Singer, Isadore Manuel 5 Yau, Shing-Tung 4 Bott, Raoul Harry 4 Mack, Gerhard 4 Weitsman, Jonathan 3 Jäkel, Christian D. 3 Jerison, David S. 3 Pedrocchi, Fabio L. 3 Quinn, Frank S. 3 Spencer, Thomas C. 3 Stora, Raymond 3 Wieczerkowski, Christian 3 Witten, Edward 2 Balaban, Tadeusz 2 Bu, Kaifeng 2 Cannon, John Tucker 2 Ge, Liming 2 Grandjean, Olivier 2 Hepp, Klaus 2 Imbrie, John Z. 2 Janssens, Bas 2 Klimek, Slawomir 2 Lusztig, George 2 Martinez, Roberto E. II 2 Mitter, Pronob K. 2 Popa, Sorin Teodor 2 Powers, Robert T. 2 Ritter, William Gordon 2 Rørdam, Mikael 2 Ruelle, David Pierre 2 ’t Hooft, Gerard 2 Wozniakowski, Alex 2 Wu, Jinsong 1 Atiyah, Michael Francis 1 Baxter, Rodney J. 1 Birman, Joan S. 1 Bisch, Dietmar H. 1 Bombieri, Enrico 1 Brydges, David C. 1 Carlson, James A. 1 Chesi, Stefano 1 Christensen, Erik 1 Clemens, C. Herbert 1 Conder, Marsteon 1 Connes, Alain 1 Cook, Stephen Arthur 1 Cuntz, Joachim 1 de la Harpe, Pierre 1 Deligne, Pierre René 1 DeWitt-Morette, Cécile 1 Doplicher, Sergio 1 Drury, Luke O’Connor 1 Effros, Edward George 1 Epstein, Henri 1 Ernst, Kaspar 1 Evans, David E. 1 Fefferman, Charles Louis 1 Feng, Ping 1 Freedman, Michael Hartley 1 Fröhlich, Jürg Martin 1 Fröhling, Jüerg 1 Gawȩdzki, Krzysztof 1 Ginibre, Jean 1 Glaser, Vladimir Jurko 1 Gleason, Andrew Mattei 1 Goldschmith, Brendan 1 Goodman, Fred J. 1 Gray, Jeremy John 1 Griffiths, Robert B. 1 Gu, Weichen 1 Guerra, Francesco 1 Guionnet, Alice 1 Gurdian, Rodolfo 1 Halmos, Paul Richard 1 Herman, Richard H. 1 Hopkins, Michael Jerome 1 Izumi, Masaki 1 Jiang, Chunlan 1 Kadison, Lars 1 Kawahigashi, Yasuyuki 1 Kirby, Robion Cromwell 1 Kollár, János 1 Lanford, Oscar E. III 1 Lax, Peter David 1 Lebowitz, Joel Louis 1 Lehrer, Gustav Isaac 1 Lewenstein, Maciej 1 Lieb, Elliott H. 1 Longo, Roberto 1 Loss, Daniel 1 Martin, Gaven J. 1 Mazur, Barry 1 Milnor, John Willard 1 Mumford, David Bryant 1 Nappi, Chiara R. 1 Neeb, Karl-Hermann ...and 30 more Co-Authors all top 5 Serials 29 Communications in Mathematical Physics 8 Annals of Physics 6 Notices of the American Mathematical Society 5 Journal of Mathematical Physics 5 Journal of Functional Analysis 4 Proceedings of the National Academy of Sciences of the United States of America 3 Bulletin of the American Mathematical Society 2 Letters in Mathematical Physics 2 Reviews in Mathematical Physics 2 Bulletin of the American Mathematical Society. New Series 2 Expositiones Mathematicae 2 Physical Review, II. Series 2 Science China. Mathematics 2 Progress in Physics 1 Journal of Statistical Physics 1 Nuclear Physics. B 1 The Mathematical Intelligencer 1 Advances in Mathematics 1 Commentarii Mathematici Helvetici 1 Synthese 1 \(K\)-Theory 1 Internationale Mathematische Nachrichten 1 Pokroky Matematiky, Fyziky & Astronomie 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Irish Mathematical Society Bulletin 1 Advances in Theoretical and Mathematical Physics 1 Annals of Mathematics. Second Series 1 Annales Henri Poincaré 1 Physical Review Letters 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Oberwolfach Reports all top 5 Fields 64 Quantum theory (81-XX) 27 Functional analysis (46-XX) 23 History and biography (01-XX) 23 Global analysis, analysis on manifolds (58-XX) 20 General and overarching topics; collections (00-XX) 12 Operator theory (47-XX) 11 Statistical mechanics, structure of matter (82-XX) 5 Partial differential equations (35-XX) 4 Measure and integration (28-XX) 4 Differential geometry (53-XX) 4 Probability theory and stochastic processes (60-XX) 4 Relativity and gravitational theory (83-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 \(K\)-theory (19-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Manifolds and cell complexes (57-XX) 3 Information and communication theory, circuits (94-XX) 2 Group theory and generalizations (20-XX) 2 Algebraic topology (55-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 75 Publications have been cited 1,584 times in 1,258 Documents Cited by ▼ Year ▼ Quantum physics. A functional integral point of view. Zbl 0461.46051Glimm, James; Jaffe, Arthur 452 1981 Vortices and monopoles. Structure of static gauge theories. Zbl 0457.53034Jaffe, Arthur; Taubes, Clifford 315 1980 The \(\lambda (\varphi^ 4)_ 2\) quantum field theory without cutoffs. II: The field operators and the approximate vacuum. Zbl 0191.27005Glimm, J.; Jaffe, A. 72 1970 Quantum K-theory. I: The Chern character. Zbl 0656.58048Jaffe, Arthur; Lesniewski, Andrzej; Osterwalder, Konrad 64 1988 A \(\lambda\varphi^4\) quantum field theory without cutoffs. I. Zbl 0177.28203Glimm, J.; Jaffe, A. 52 1968 Phase transitions for \(\phi_2^4\) quantum fields. Zbl 0956.82501Glimm, James; Jaffe, Arthur; Spencer, Thomas 41 1975 Rigorous quantum field theory models. Zbl 0191.27101Glimm, J.; Jaffe, A. 38 1970 Index of a family of Dirac operators on loop space. Zbl 0629.58040Jaffe, Arthur; Lesniewski, Andrzej; Weitsman, Jonathan 34 1987 Ground state structure in supersymmetric quantum mechanics. Zbl 0625.58042Jaffe, Arthur; Lesniewski, Andrzej; Lewenstein, Maciej 27 1987 Quantum Yang-Mills theory. Zbl 1194.81002Jaffe, Arthur; Witten, Edward 25 2006 “Theoretical mathematics”: Toward a cultural synthesis of mathematics and theoretical physics. Zbl 0780.00001Jaffe, Arthur; Quinn, Frank 24 1993 Divergence of perturbation theory for bosons. Zbl 0127.19706Jaffe, A. 21 1965 Collected papers. Vol. 1: Quantum field theory and statistical mechanics. Expositions. Vol. 2: Constructive quantum field theory. Selected papers. Zbl 0574.01019Glimm, James; Jaffe, Arthur 21 1985 The Millennium Prize problems. Zbl 1155.00001 18 2006 Renormalization of the Higgs model: Minimizers, propagators and the stability of mean field theory. Zbl 1223.81136Bałaban, Tadeusz; Imbrie, John; Jaffe, Arthur 16 1985 The two-dimensional, \(N=2\) Wess-Zumino model on a cylinder. Zbl 0662.35094Jaffe, Arthur; Lesniewski, Andrezej; Weitsman, Jonathan 16 1988 A priori estimates for \(N=2\) Wess-Zumino models on a cylinder. Zbl 0662.35095Jaffe, Arthur; Lesniewski, Andrzej 15 1988 Representations of the Heisenberg algebra on a Riemann surface. Zbl 0686.30035Jaffe, Arthur; Klimek, Slawomir; Lesniewski, Andrzej 14 1989 On super-KMS functionals and entire cyclic cohomology. Zbl 0692.46055Jaffe, Arthur; Lesniewski, Andrzej; Osterwalder, Konrad 14 1989 Deformations of super-KMS functionals. Zbl 0701.58007Jaffe, Arthur; Lesniewski, Andrzej; Wisniowski, Marek 14 1989 The loop space \(S^ 1\to {\mathbb{R}}\) and supersymmetric quantum fields. Zbl 0633.58007Jaffe, Arthur; Lesniewski, Andrzej; Weitsman, Jonathan 14 1988 Positivity and self adjointness of the \(P(\phi)_ 2\) Hamiltonian. Zbl 0221.47022Glimm, James; Jaffe, Arthur 13 1971 Entire functions of the free field. Zbl 0127.44102Jaffe, A. 13 1965 The mass gap for Higgs models on a unit lattice. Zbl 0583.46060Balaban, Tadeusz; Imbrie, John; Jaffe, Arthur; Brydges, David 13 1984 Reflection positivity for parafermions. Zbl 1318.82011Jaffe, Arthur; Pedrocchi, Fabio L. 12 2015 Reflection positivity and monotonicity. Zbl 1152.81489Jaffe, Arthur; Ritter, Gordon 12 2008 Quantum field theory on curved backgrounds. I: The Euclidean functional integral. Zbl 1120.81065Jaffe, Arthur; Ritter, Gordon 12 2007 Holographic software for quantum networks. Zbl 1390.81100Jaffe, Arthur; Liu, Zhengwei; Wozniakowski, Alex 11 2018 Planar para algebras, reflection positivity. Zbl 1373.46058Jaffe, Arthur; Liu, Zhengwei 11 2017 A note on reflection positivity. Zbl 0418.47020Glimm, James; Jaffe, Arthur 10 1979 Quantum K-theory. II: Homotopy invariance of the Chern character. Zbl 0708.58033Ernst, Kaspar; Feng, Ping; Jaffe, Arthur; Lesniewski, Andrzej 10 1990 Pfaffians on Hilbert space. Zbl 0717.47006Jaffe, Arthur; Lesniewski, Andrzej; Weitsman, Jonathan 10 1989 Remark on the existence of \(\varphi^{4}_{4}\). Zbl 1329.81210Glimm, James; Jaffe, Arthur 9 1974 Reflection positivity for majoranas. Zbl 1308.82009Jaffe, Arthur; Pedrocchi, Fabio L. 8 2015 Infinite renormalization of the Hamiltonian is necessary. Zbl 0184.54203Glimm, J.; Jaffe, A. 8 1969 Lorentz covariance of the \(\lambda (\varphi^ 4)_ 2\) quantum field theory. Zbl 0194.29003Cannon, J. T.; Jaffe, A. M. 8 1970 Constructive quantum field theory. Zbl 1074.81543Jaffe, Arthur 8 2000 Quantum theory and relativity. Zbl 1154.81300Jaffe, Arthur 7 2008 Complex classical fields: a framework for reflection positivity. Zbl 1295.81104Jaffe, Arthur; Jäkel, Christian D.; Martinez, Roberto E. II 7 2014 Quantum harmonic analysis and geometric invariants. Zbl 1049.58025Jaffe, Arthur 6 1999 Stochastic quantization, reflection positivity, and quantum fields. Zbl 1327.81260Jaffe, Arthur 6 2015 Reflection positive doubles. Zbl 06695374Jaffe, Arthur; Janssens, Bas 6 2017 Self-adjointness of the Yukawa\(_{2}\) Hamiltonian. Zbl 1229.81087Glimm, James; Jaffe, Arthur 5 1970 On the approximation of quantum field theories. Zbl 0137.45604Jaffe, A. 5 1965 Quantum physics. A functional integral point of view. (Matematicheskie metody kvantovoj fiziki. Podkhod s ispol’zovaniem funktional’nykh integralov). Zbl 0589.46061Glimm, James; Jaffe, Arthur 5 1984 Heat kernel regularization and infinite dimensional analysis. Zbl 0647.58001Jaffe, Arthur 5 1988 Quon 3D language for quantum information. Zbl 1404.81063Liu, Zhengwei; Wozniakowski, Alex; Jaffe, Arthur M. 5 2017 Characterization of reflection positivity: Majoranas and spins. Zbl 1348.81268Jaffe, Arthur; Janssens, Bas 5 2016 Existence theorems for a cut-off \(\lambda\varphi^ 4\) field theory. Zbl 0159.60201Jaffe, A. 4 1966 Ordering the universe: The role of mathematics. Zbl 0558.01023Jaffe, Arthur 3 1984 Phase transitions in \(P(\varphi)_2\) quantum fields. Zbl 0367.60113Glimm, J.; Jaffe, A.; Spencer, T. 3 1976 The holonomy expansion: invariants and approximate supersymmetry. Zbl 1161.58314Jaffe, Arthur 3 2000 Complex classical fields: an example. Zbl 1292.81094Jaffe, Arthur; Jäkel, Christian D.; Martinez, Roberto E. 3 2014 Supersymmetry and the spectral condition on a cylinder. Zbl 0696.58051Jaffe, Arthur; Lesniewski, Andrzej; Wieczerkowski, Christian 2 1988 Infinite volume limit of a \(\lambda\varphi^ 4\) field theory. Zbl 0159.60202Jaffe, A. M.; Powers, R. T. 2 1968 Complex angular momentum in two-channel problems. Zbl 0132.43606Jaffe, A. M.; Kim, Y. S. 2 1962 Ward identities for non-commutative geometry. Zbl 0707.58050Jaffe, Arthur; Osterwalder, Konrad 2 1990 Twist fields, the elliptic genus, and hidden symmetry. Zbl 0980.58004Jaffe, Arthur 2 2000 A priori quantum field equations. Zbl 0676.35078Jaffe, Arthur; Lesniewski, Andrzej; Wieczerkowski, Christian 2 1989 Heat kernel regularization of quantum fields. Zbl 0682.46050Jaffe, Arthur; Lesniewski, Andrzej; Wieczerkowski, Christian 2 1989 Twist positivity. Zbl 1049.81047Jaffe, Arthur 2 1999 Vortex loops and Majoranas. Zbl 1288.81069Chesi, Stefano; Jaffe, Arthur; Loss, Daniel; Pedrocchi, Fabio L. 2 2013 Mathematical picture language program. Zbl 1416.00023Jaffe, Arthur M.; Liu, Zhengwei 1 2018 “Theoretical Mathematics”: Toward a cultural synthesis of mathematics and theoretical physics. Zbl 0875.00036Jaffe, Arthur; Quinn, Frank 1 1996 The resummation of one particle lines. Zbl 0422.46058Glimm, James; Jaffe, Arthur 1 1979 The millennium grand challenge in mathematics. Zbl 1130.01012Jaffe, Arthur M. 1 2006 New symmetry principles in quantum field theory. Proceedings of the NATO Advanced Study Institute held in Cargèse, July 16–27, 1991. Zbl 1222.81031 1 1992 A generalization of the Paley-Wiener-Schwartz theorem. Zbl 0153.16503Jaffe, A. M. 1 1967 Statistical mechanics and quantum field theory. Mecanique statistique et theorie quantique des champs. Universite de Grenoble-Summer School of Theoretical Physics Les Houches 1970. Supported by NATO and the Commissariat a l’Energie Atomique. Zbl 0242.46002 1 1971 Where does quantum field theory fit into the big picture? Zbl 1049.81046Jaffe, Arthur 1 1999 The elliptic genus and hidden symmetry. Zbl 0979.58010Jaffe, Arthur 1 2001 Stability for a class of bilocal Hamiltonians. Zbl 0799.58073Jaffe, Arthur; Lesniewski, Andrzej; Osterwalder, Konrad 1 1993 Response to comments on “theoretical mathematics”. Zbl 0803.01015Jaffe, Arthur; Quinn, Frank 1 1994 Quantum physics as non-commutative geometry. Zbl 0947.46504Jaffe, Arthur 1 1992 Reflection positivity. Abstracts from the workshop held November 26 – December 2, 2017. Zbl 1409.00095 1 2017 Holographic software for quantum networks. Zbl 1390.81100Jaffe, Arthur; Liu, Zhengwei; Wozniakowski, Alex 11 2018 Mathematical picture language program. Zbl 1416.00023Jaffe, Arthur M.; Liu, Zhengwei 1 2018 Planar para algebras, reflection positivity. Zbl 1373.46058Jaffe, Arthur; Liu, Zhengwei 11 2017 Reflection positive doubles. Zbl 06695374Jaffe, Arthur; Janssens, Bas 6 2017 Quon 3D language for quantum information. Zbl 1404.81063Liu, Zhengwei; Wozniakowski, Alex; Jaffe, Arthur M. 5 2017 Reflection positivity. Abstracts from the workshop held November 26 – December 2, 2017. Zbl 1409.00095 1 2017 Characterization of reflection positivity: Majoranas and spins. Zbl 1348.81268Jaffe, Arthur; Janssens, Bas 5 2016 Reflection positivity for parafermions. Zbl 1318.82011Jaffe, Arthur; Pedrocchi, Fabio L. 12 2015 Reflection positivity for majoranas. Zbl 1308.82009Jaffe, Arthur; Pedrocchi, Fabio L. 8 2015 Stochastic quantization, reflection positivity, and quantum fields. Zbl 1327.81260Jaffe, Arthur 6 2015 Complex classical fields: a framework for reflection positivity. Zbl 1295.81104Jaffe, Arthur; Jäkel, Christian D.; Martinez, Roberto E. II 7 2014 Complex classical fields: an example. Zbl 1292.81094Jaffe, Arthur; Jäkel, Christian D.; Martinez, Roberto E. 3 2014 Vortex loops and Majoranas. Zbl 1288.81069Chesi, Stefano; Jaffe, Arthur; Loss, Daniel; Pedrocchi, Fabio L. 2 2013 Reflection positivity and monotonicity. Zbl 1152.81489Jaffe, Arthur; Ritter, Gordon 12 2008 Quantum theory and relativity. Zbl 1154.81300Jaffe, Arthur 7 2008 Quantum field theory on curved backgrounds. I: The Euclidean functional integral. Zbl 1120.81065Jaffe, Arthur; Ritter, Gordon 12 2007 Quantum Yang-Mills theory. Zbl 1194.81002Jaffe, Arthur; Witten, Edward 25 2006 The Millennium Prize problems. Zbl 1155.00001 18 2006 The millennium grand challenge in mathematics. Zbl 1130.01012Jaffe, Arthur M. 1 2006 The elliptic genus and hidden symmetry. Zbl 0979.58010Jaffe, Arthur 1 2001 Constructive quantum field theory. Zbl 1074.81543Jaffe, Arthur 8 2000 The holonomy expansion: invariants and approximate supersymmetry. Zbl 1161.58314Jaffe, Arthur 3 2000 Twist fields, the elliptic genus, and hidden symmetry. Zbl 0980.58004Jaffe, Arthur 2 2000 Quantum harmonic analysis and geometric invariants. Zbl 1049.58025Jaffe, Arthur 6 1999 Twist positivity. Zbl 1049.81047Jaffe, Arthur 2 1999 Where does quantum field theory fit into the big picture? Zbl 1049.81046Jaffe, Arthur 1 1999 “Theoretical Mathematics”: Toward a cultural synthesis of mathematics and theoretical physics. Zbl 0875.00036Jaffe, Arthur; Quinn, Frank 1 1996 Response to comments on “theoretical mathematics”. Zbl 0803.01015Jaffe, Arthur; Quinn, Frank 1 1994 “Theoretical mathematics”: Toward a cultural synthesis of mathematics and theoretical physics. Zbl 0780.00001Jaffe, Arthur; Quinn, Frank 24 1993 Stability for a class of bilocal Hamiltonians. Zbl 0799.58073Jaffe, Arthur; Lesniewski, Andrzej; Osterwalder, Konrad 1 1993 New symmetry principles in quantum field theory. Proceedings of the NATO Advanced Study Institute held in Cargèse, July 16–27, 1991. Zbl 1222.81031 1 1992 Quantum physics as non-commutative geometry. Zbl 0947.46504Jaffe, Arthur 1 1992 Quantum K-theory. II: Homotopy invariance of the Chern character. Zbl 0708.58033Ernst, Kaspar; Feng, Ping; Jaffe, Arthur; Lesniewski, Andrzej 10 1990 Ward identities for non-commutative geometry. Zbl 0707.58050Jaffe, Arthur; Osterwalder, Konrad 2 1990 Representations of the Heisenberg algebra on a Riemann surface. Zbl 0686.30035Jaffe, Arthur; Klimek, Slawomir; Lesniewski, Andrzej 14 1989 On super-KMS functionals and entire cyclic cohomology. Zbl 0692.46055Jaffe, Arthur; Lesniewski, Andrzej; Osterwalder, Konrad 14 1989 Deformations of super-KMS functionals. Zbl 0701.58007Jaffe, Arthur; Lesniewski, Andrzej; Wisniowski, Marek 14 1989 Pfaffians on Hilbert space. Zbl 0717.47006Jaffe, Arthur; Lesniewski, Andrzej; Weitsman, Jonathan 10 1989 A priori quantum field equations. Zbl 0676.35078Jaffe, Arthur; Lesniewski, Andrzej; Wieczerkowski, Christian 2 1989 Heat kernel regularization of quantum fields. Zbl 0682.46050Jaffe, Arthur; Lesniewski, Andrzej; Wieczerkowski, Christian 2 1989 Quantum K-theory. I: The Chern character. Zbl 0656.58048Jaffe, Arthur; Lesniewski, Andrzej; Osterwalder, Konrad 64 1988 The two-dimensional, \(N=2\) Wess-Zumino model on a cylinder. Zbl 0662.35094Jaffe, Arthur; Lesniewski, Andrezej; Weitsman, Jonathan 16 1988 A priori estimates for \(N=2\) Wess-Zumino models on a cylinder. Zbl 0662.35095Jaffe, Arthur; Lesniewski, Andrzej 15 1988 The loop space \(S^ 1\to {\mathbb{R}}\) and supersymmetric quantum fields. Zbl 0633.58007Jaffe, Arthur; Lesniewski, Andrzej; Weitsman, Jonathan 14 1988 Heat kernel regularization and infinite dimensional analysis. Zbl 0647.58001Jaffe, Arthur 5 1988 Supersymmetry and the spectral condition on a cylinder. Zbl 0696.58051Jaffe, Arthur; Lesniewski, Andrzej; Wieczerkowski, Christian 2 1988 Index of a family of Dirac operators on loop space. Zbl 0629.58040Jaffe, Arthur; Lesniewski, Andrzej; Weitsman, Jonathan 34 1987 Ground state structure in supersymmetric quantum mechanics. Zbl 0625.58042Jaffe, Arthur; Lesniewski, Andrzej; Lewenstein, Maciej 27 1987 Collected papers. Vol. 1: Quantum field theory and statistical mechanics. Expositions. Vol. 2: Constructive quantum field theory. Selected papers. Zbl 0574.01019Glimm, James; Jaffe, Arthur 21 1985 Renormalization of the Higgs model: Minimizers, propagators and the stability of mean field theory. Zbl 1223.81136Bałaban, Tadeusz; Imbrie, John; Jaffe, Arthur 16 1985 The mass gap for Higgs models on a unit lattice. Zbl 0583.46060Balaban, Tadeusz; Imbrie, John; Jaffe, Arthur; Brydges, David 13 1984 Quantum physics. A functional integral point of view. (Matematicheskie metody kvantovoj fiziki. Podkhod s ispol’zovaniem funktional’nykh integralov). Zbl 0589.46061Glimm, James; Jaffe, Arthur 5 1984 Ordering the universe: The role of mathematics. Zbl 0558.01023Jaffe, Arthur 3 1984 Quantum physics. A functional integral point of view. Zbl 0461.46051Glimm, James; Jaffe, Arthur 452 1981 Vortices and monopoles. Structure of static gauge theories. Zbl 0457.53034Jaffe, Arthur; Taubes, Clifford 315 1980 A note on reflection positivity. Zbl 0418.47020Glimm, James; Jaffe, Arthur 10 1979 The resummation of one particle lines. Zbl 0422.46058Glimm, James; Jaffe, Arthur 1 1979 Phase transitions in \(P(\varphi)_2\) quantum fields. Zbl 0367.60113Glimm, J.; Jaffe, A.; Spencer, T. 3 1976 Phase transitions for \(\phi_2^4\) quantum fields. Zbl 0956.82501Glimm, James; Jaffe, Arthur; Spencer, Thomas 41 1975 Remark on the existence of \(\varphi^{4}_{4}\). Zbl 1329.81210Glimm, James; Jaffe, Arthur 9 1974 Positivity and self adjointness of the \(P(\phi)_ 2\) Hamiltonian. Zbl 0221.47022Glimm, James; Jaffe, Arthur 13 1971 Statistical mechanics and quantum field theory. Mecanique statistique et theorie quantique des champs. Universite de Grenoble-Summer School of Theoretical Physics Les Houches 1970. Supported by NATO and the Commissariat a l’Energie Atomique. Zbl 0242.46002 1 1971 The \(\lambda (\varphi^ 4)_ 2\) quantum field theory without cutoffs. II: The field operators and the approximate vacuum. Zbl 0191.27005Glimm, J.; Jaffe, A. 72 1970 Rigorous quantum field theory models. Zbl 0191.27101Glimm, J.; Jaffe, A. 38 1970 Lorentz covariance of the \(\lambda (\varphi^ 4)_ 2\) quantum field theory. Zbl 0194.29003Cannon, J. T.; Jaffe, A. M. 8 1970 Self-adjointness of the Yukawa\(_{2}\) Hamiltonian. Zbl 1229.81087Glimm, James; Jaffe, Arthur 5 1970 Infinite renormalization of the Hamiltonian is necessary. Zbl 0184.54203Glimm, J.; Jaffe, A. 8 1969 A \(\lambda\varphi^4\) quantum field theory without cutoffs. I. Zbl 0177.28203Glimm, J.; Jaffe, A. 52 1968 Infinite volume limit of a \(\lambda\varphi^ 4\) field theory. Zbl 0159.60202Jaffe, A. M.; Powers, R. T. 2 1968 A generalization of the Paley-Wiener-Schwartz theorem. Zbl 0153.16503Jaffe, A. M. 1 1967 Existence theorems for a cut-off \(\lambda\varphi^ 4\) field theory. Zbl 0159.60201Jaffe, A. 4 1966 Divergence of perturbation theory for bosons. Zbl 0127.19706Jaffe, A. 21 1965 Entire functions of the free field. Zbl 0127.44102Jaffe, A. 13 1965 On the approximation of quantum field theories. Zbl 0137.45604Jaffe, A. 5 1965 Complex angular momentum in two-channel problems. Zbl 0132.43606Jaffe, A. M.; Kim, Y. S. 2 1962 all cited Publications top 5 cited Publications all top 5 Cited by 1,295 Authors 49 Jaffe, Arthur Michael 28 Yang, Yisong 24 Albeverio, Sergio A. 22 Lesniewski, Andrzej 15 Taubes, Clifford Henry 14 Fröhlich, Jürg Martin 14 Simon, Barry 13 Arai, Asao 12 Léandre, Rémi 12 Lin, Chang-Shou 12 Rivasseau, Vincent 11 Dimock, Jonathan 11 Jørgensen, Palle E. T. 10 Glimm, James G. 10 Han, Jongmin 10 Sergeev, Armen Glebovich 9 Balaban, Tadeusz 9 Jäkel, Christian D. 9 O’Carroll, Michael L. 9 Röckner, Michael 8 Han, Xiaosen 8 Høegh-Krohn, Raphael J. 8 Liu, Zhengwei 8 Neeb, Karl-Hermann 8 Osterwalder, Konrad 8 Sibner, Lesley M. 8 Tarantello, Gabriella 8 Weitsman, Jonathan 7 Buchholz, Detlev 7 Choe, Kwangseok 7 Fredenhagen, Klaus 7 Hiroshima, Fumio 7 Klimek, Slawomir 7 Marchetti, Pieralberto A. 7 Miyao, Tadahiro 7 Ólafsson, Gestur 7 Slade, Gordon 7 Wieczerkowski, Christian 6 Borgs, Christian 6 Gielerak, Roman 6 Hillier, Robin 6 Imbrie, John Z. 6 Manton, Nicholas S. 6 Rhodes, Rémi 6 Sigal, Israel Michael 6 Summers, Stephen Jeffrey 6 Vargas, Vincent 5 Chen, Shouxin 5 Connes, Alain 5 Fontaine, Jean-Raymond 5 Fraser, Doreen 5 García Fuertes, Wilfredo 5 Gross, Leonard 5 Hirokawa, Masao 5 Kiessling, Michael Karl-Heinz 5 Klein, Abel 5 Kondrat’yev, Yuriĭ Grygorovych 5 Romão, Nuno M. 5 Spruck, Joel 5 Zegarlinski, Boguslaw 4 Alonso Izquierdo, A. Alonso 4 Bismut, Jean-Michel 4 Bricmont, Jean 4 Brydges, David C. 4 Burzlaff, Jürgen 4 Cannon, John Tucker 4 Carpi, Sebastiano 4 Duan, Yishi 4 Faddeev, Mikhaĭl Mikhaĭlovich 4 Faria da Veiga, Paulo A. 4 Gawȩdzki, Krzysztof 4 Gérard, Christian 4 Gurau, Razvan Gheorghe 4 Ibragimov, Il’dar Abdullovich 4 Ilinski, Kirill N. 4 Kim, Namkwon 4 Kupiainen, Antti 4 Lebowitz, Joel Louis 4 Lechner, Gandalf 4 Lee, Youngae 4 Malyshev, Vadim Aleksandrovich 4 Manolessou, Marietta M. 4 Nagamachi, Shigeaki 4 Popov, Alexander D. 4 Schrader, Robert 4 Sheĭnman, Oleg Karlovich 4 Sibner, Robert J. 4 Smorodina, Natal’ya Vasil’evna 4 Song, Chong 4 Takaesu, Toshimitsu 4 Tang, Qi 4 Ting, Fan 4 Wei, Juncheng 3 Abdesselam, Abdelmalek 3 Álvarez-Cónsul, Luis 3 Bauerschmidt, Roland 3 Betounes, David E. 3 Borthwick, David 3 Bruning, Erwin Albert Karl 3 Chatterjee, Sourav ...and 1,195 more Authors all top 5 Cited in 219 Serials 295 Communications in Mathematical Physics 88 Journal of Mathematical Physics 59 Journal of Functional Analysis 58 Journal of Statistical Physics 38 Letters in Mathematical Physics 27 Journal of Geometry and Physics 23 Nuclear Physics. B 21 Reviews in Mathematical Physics 21 Annales Henri Poincaré 20 Theoretical and Mathematical Physics 18 Reports on Mathematical Physics 18 Journal of High Energy Physics 17 International Journal of Theoretical Physics 14 Advances in Mathematics 14 Annals of Physics 14 Bulletin of the American Mathematical Society. New Series 11 Annales de l’Institut Henri Poincaré. Physique Théorique 11 Journal of Mathematical Sciences (New York) 10 Physics Letters. B 10 Calculus of Variations and Partial Differential Equations 9 International Journal of Modern Physics A 9 Mathematische Annalen 9 Transactions of the American Mathematical Society 9 Physica D 8 The Mathematical Intelligencer 8 The Annals of Probability 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 7 Inventiones Mathematicae 7 Communications in Partial Differential Equations 7 Infinite Dimensional Analysis, Quantum Probability and Related Topics 7 Bulletin of the American Mathematical Society 6 Journal of Differential Equations 6 Acta Applicandae Mathematicae 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Mathematical Physics, Analysis and Geometry 6 International Journal of Geometric Methods in Modern Physics 6 Journal of Noncommutative Geometry 6 Science China. Mathematics 5 Journal of Mathematical Analysis and Applications 5 Journal of Soviet Mathematics 5 Mathematische Zeitschrift 5 \(K\)-Theory 5 Geometry & Topology 4 Duke Mathematical Journal 4 Journal of Computational and Applied Mathematics 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Probability Theory and Related Fields 4 Communications in Contemporary Mathematics 4 Proceedings of the Steklov Institute of Mathematics 4 Advances in Mathematical Physics 4 Stochastic and Partial Differential Equations. Analysis and Computations 3 Modern Physics Letters A 3 Physics Letters. A 3 Rocky Mountain Journal of Mathematics 3 Ukrainian Mathematical Journal 3 Wave Motion 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 3 Functional Analysis and its Applications 3 Proceedings of the Japan Academy. Series A 3 Transactions of the Moscow Mathematical Society 3 Advances in Applied Mathematics 3 Journal of Theoretical Probability 3 Journal of the American Mathematical Society 3 Geometric and Functional Analysis. GAFA 3 SIAM Journal on Mathematical Analysis 3 Expositiones Mathematicae 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Potential Analysis 3 Nuclear Physics. B. Proceedings Supplements 3 Discrete and Continuous Dynamical Systems 3 The Journal of Fourier Analysis and Applications 3 Erkenntnis 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Complex Analysis and Operator Theory 3 Journal of Physics A: Mathematical and Theoretical 3 Journal of \(K\)-Theory 3 Nonlinear Analysis. Theory, Methods & Applications 2 Archive for Rational Mechanics and Analysis 2 Bulletin of the Australian Mathematical Society 2 General Relativity and Gravitation 2 Journal d’Analyse Mathématique 2 Journal of Computational Physics 2 Mathematical Notes 2 Physics Reports 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Bulletin of Mathematical Biology 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Applied Mathematics and Optimization 2 Compositio Mathematica 2 Geometriae Dedicata 2 Publications Mathématiques 2 Integral Equations and Operator Theory 2 Journal of the London Mathematical Society. Second Series 2 Manuscripta Mathematica 2 Memoirs of the American Mathematical Society 2 Proceedings of the American Mathematical Society 2 Semigroup Forum 2 Synthese ...and 119 more Serials all top 5 Cited in 57 Fields 692 Quantum theory (81-XX) 240 Partial differential equations (35-XX) 228 Global analysis, analysis on manifolds (58-XX) 227 Statistical mechanics, structure of matter (82-XX) 221 Functional analysis (46-XX) 196 Probability theory and stochastic processes (60-XX) 137 Operator theory (47-XX) 130 Differential geometry (53-XX) 49 Relativity and gravitational theory (83-XX) 39 Dynamical systems and ergodic theory (37-XX) 35 Manifolds and cell complexes (57-XX) 33 Topological groups, Lie groups (22-XX) 31 Mechanics of particles and systems (70-XX) 28 Algebraic geometry (14-XX) 28 Several complex variables and analytic spaces (32-XX) 26 Measure and integration (28-XX) 21 \(K\)-theory (19-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 20 General and overarching topics; collections (00-XX) 19 Algebraic topology (55-XX) 19 Fluid mechanics (76-XX) 18 Functions of a complex variable (30-XX) 17 Nonassociative rings and algebras (17-XX) 16 History and biography (01-XX) 16 Numerical analysis (65-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 12 Combinatorics (05-XX) 11 Number theory (11-XX) 10 Mathematical logic and foundations (03-XX) 10 Abstract harmonic analysis (43-XX) 9 Associative rings and algebras (16-XX) 9 Category theory; homological algebra (18-XX) 8 Real functions (26-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Geometry (51-XX) 8 Optics, electromagnetic theory (78-XX) 7 Ordinary differential equations (34-XX) 7 Statistics (62-XX) 7 Computer science (68-XX) 6 Group theory and generalizations (20-XX) 6 Potential theory (31-XX) 5 Biology and other natural sciences (92-XX) 4 Special functions (33-XX) 4 Approximations and expansions (41-XX) 4 Operations research, mathematical programming (90-XX) 3 Sequences, series, summability (40-XX) 3 Integral transforms, operational calculus (44-XX) 3 Information and communication theory, circuits (94-XX) 3 Mathematics education (97-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 General topology (54-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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