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## Verch, Rainer

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 Author ID: verch.rainer Published as: Verch, R.; Verch, Rainer External Links: MGP
 Documents Indexed: 48 Publications since 1993
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#### Co-Authors

 15 single-authored 9 Fewster, Christopher John 4 Buchholz, Detlev 2 D’Antoni, Claudio 2 Lechner, Gandalf 2 Morsella, Gerardo 2 Paschke, Mario 2 Pinamonti, Nicola 2 Sahlmann, Hanno 1 Avetisyan, Zhirayr G. 1 Borris, Markus 1 Brunetti, Romeo 1 Degner, Andreas 1 Doplicher, Sergio 1 Eveson, Simon P. 1 Fredenhagen, Klaus 1 Gransee, Michael 1 Grosse, Harald 1 Guido, Daniele 1 Longo, Roberto 1 Ludwig, Thomas 1 Roberts, John Elias 1 Sanders, Ko 1 Schlemmer, Jan 1 Strohmaier, Alexander 1 Summers, Stephen Jeffrey 1 Tolksdorf, Jürgen 1 Werner, Reinhard F. 1 Wollenberg, Manfred 1 Zeidler, Eberhard
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#### Serials

 10 Communications in Mathematical Physics 6 Reviews in Mathematical Physics 5 Classical and Quantum Gravity 5 Annales Henri Poincaré 4 Journal of Mathematical Physics 4 Letters in Mathematical Physics 1 General Relativity and Gravitation 1 Journal of Geometry and Physics 1 Oberwolfach Reports 1 Journal of Noncommutative Geometry
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#### Fields

 43 Quantum theory (81-XX) 18 Functional analysis (46-XX) 16 Relativity and gravitational theory (83-XX) 9 Global analysis, analysis on manifolds (58-XX) 6 Partial differential equations (35-XX) 5 Differential geometry (53-XX) 3 Operator theory (47-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX)

#### Citations contained in zbMATH

38 Publications have been cited 687 times in 329 Documents Cited by Year
The generally covariant locality principle – a new paradigm for local quantum field theory. Zbl 1047.81052
Brunetti, Romeo; Fredenhagen, Klaus; Verch, Rainer
2003
Microlocal spectrum condition and Hadamard form for vector-valued quantum fields in curved spacetime. Zbl 1029.81053
Sahlmann, Hanno; Verch, Rainer
2001
Microlocal analysis of quantum fields on curved space-times: analytic wave front sets and Reeh-Schlieder theorems. Zbl 1060.81050
Strohmaier, Alexander; Verch, Rainer; Wollenberg, Manfred
2002
Scaling algebras and renormalization group in algebraic quantum field theory. Zbl 0842.46052
Buchholz, Detlev; Verch, Rainer
1995
A spin-statistics theorem for quantum fields on curved spacetime manifolds in a generally covariant framework. Zbl 1086.81067
Verch, Rainer
2001
Local definiteness, primarity and quasiequivalence of quasifree Hadamard quantum states in curved spacetime. Zbl 0790.53077
Verch, Rainer
1994
Charged sectors, spin and statistics in quantum field theory on curved spacetimes. Zbl 1029.81052
Guido, D.; Longo, R.; Roberts, J. E.; Verch, R.
2001
Dynamical locality and covariance: what makes a physical theory the same in all spacetimes? Zbl 1280.81099
Fewster, Christopher J.; Verch, Rainer
2012
Passivity and microlocal spectrum condition. Zbl 1010.81046
Sahlmann, Hanno; Verch, Rainer
2000
The necessity of the Hadamard condition. Zbl 1284.83057
Fewster, Christopher J.; Verch, Rainer
2013
Continuity of symplectically adjoint maps and the algebraic structure of Hadamard vacuum representations for quantum fields on curved spacetime. Zbl 0897.53057
Verch, Rainer
1997
Distillability and positivity of partial transposes in general quantum field systems. Zbl 1074.81014
Verch, Rainer; Werner, Reinhard F.
2005
A quantum weak energy inequality for Dirac fields in curved spacetime. Zbl 1026.83028
Fewster, Christopher J.; Verch, Rainer
2002
Algebraic quantum field theory in curved spacetimes. Zbl 1334.81079
Fewster, Christopher J.; Verch, Rainer
2015
Dynamical locality of the free scalar field. Zbl 1280.81100
Fewster, Christopher J.; Verch, Rainer
2012
On a recent construction of ‘vacuum-like’ quantum field states in curved spacetime. Zbl 1256.83013
Fewster, Christopher J.; Verch, Rainer
2012
Antilocality and a Reeh-Schlieder theorem on manifolds. Zbl 0798.58065
Verch, Rainer
1993
Local thermal equilibrium states and quantum energy inequalities. Zbl 1144.82025
Schlemmer, Jan; Verch, Rainer
2008
Local covariant quantum field theory over spectral geometries. Zbl 1065.83027
Paschke, Mario; Verch, Rainer
2004
Stability of quantum systems at three scales: Passivity, quantum weak energy inequalities and the microlocal spectrum condition. Zbl 1050.81053
Fewster, Christopher J.; Verch, Rainer
2003
Nuclearity, split property, and duality for the Klein-Gordon field in curved spacetime. Zbl 0799.46082
Verch, Rainer
1993
Scaling algebras for charged fields and short-distance analysis for localizable and topological charges. Zbl 1065.81084
D’Antoni, Claudio; Morsella, Gerardo; Verch, Rainer
2004
Scaling algebras and renormalization group in algebraic quantum field theory. II: Instructive examples. Zbl 0916.46056
Buchholz, D.; Verch, R.
1998
Modular inclusion, the Hawking temperature, and quantum field theory in curved spacetime. Zbl 0844.53056
Summers, Stephen J.; Verch, Rainer
1996
Cosmological particle creation in states of low energy. Zbl 1309.83093
Degner, Andreas; Verch, Rainer
2010
Macroscopic aspects of the Unruh effect. Zbl 1331.83023
Buchholz, Detlev; Verch, Rainer
2015
Local covariance, renormalization ambiguity, and local thermal equilibrium in cosmology. Zbl 1248.83186
Verch, Rainer
2012
The averaged null energy condition for general quantum field theories in two dimensions. Zbl 0981.81050
Verch, Rainer
2000
Dirac field on Moyal-Minkowski spacetime and non-commutative potential scattering. Zbl 1208.81189
Borris, Markus; Verch, Rainer
2010
Wavefront sets in algebraic quantum field theory. Zbl 1157.81325
Verch, Rainer
1999
Quantum inequalities in quantum mechanics. Zbl 1074.81048
Eveson, Simon P.; Fewster, Christopher J.; Verch, Rainer
2005
KMS-like properties of local equilibrium states in quantum field theory. Zbl 1366.81249
Gransee, Michael; Pinamonti, Nicola; Verch, Rainer
2017
Unruh versus Tolman: on the heat of acceleration. Zbl 1337.83007
Buchholz, Detlev; Verch, Rainer
2016
Wick rotation for quantum field theories on degenerate Moyal space(-time). Zbl 1280.81136
Grosse, Harald; Lechner, Gandalf; Ludwig, Thomas; Verch, Rainer
2013
Quantum physics, fields and closed timelike curves: the D-CTC condition in quantum field theory. Zbl 1391.81140
Tolksdorf, Jürgen; Verch, Rainer
2018
Scaling algebras for charge carrying quantum fields and superselection structure at short distances. Zbl 1129.81051
D’Antoni, Claudio; Morsella, Gerardo; Verch, Rainer
2007
Linear hyperbolic PDEs with noncommutative time. Zbl 1351.46072
Lechner, Gandalf; Verch, Rainer
2015
Explicit harmonic and spectral analysis in Bianchi I-VII-type cosmologies. Zbl 1273.83035
Avetisyan, Zhirayr; Verch, Rainer
2013
Quantum physics, fields and closed timelike curves: the D-CTC condition in quantum field theory. Zbl 1391.81140
Tolksdorf, Jürgen; Verch, Rainer
2018
KMS-like properties of local equilibrium states in quantum field theory. Zbl 1366.81249
Gransee, Michael; Pinamonti, Nicola; Verch, Rainer
2017
Unruh versus Tolman: on the heat of acceleration. Zbl 1337.83007
Buchholz, Detlev; Verch, Rainer
2016
Algebraic quantum field theory in curved spacetimes. Zbl 1334.81079
Fewster, Christopher J.; Verch, Rainer
2015
Macroscopic aspects of the Unruh effect. Zbl 1331.83023
Buchholz, Detlev; Verch, Rainer
2015
Linear hyperbolic PDEs with noncommutative time. Zbl 1351.46072
Lechner, Gandalf; Verch, Rainer
2015
The necessity of the Hadamard condition. Zbl 1284.83057
Fewster, Christopher J.; Verch, Rainer
2013
Wick rotation for quantum field theories on degenerate Moyal space(-time). Zbl 1280.81136
Grosse, Harald; Lechner, Gandalf; Ludwig, Thomas; Verch, Rainer
2013
Explicit harmonic and spectral analysis in Bianchi I-VII-type cosmologies. Zbl 1273.83035
Avetisyan, Zhirayr; Verch, Rainer
2013
Dynamical locality and covariance: what makes a physical theory the same in all spacetimes? Zbl 1280.81099
Fewster, Christopher J.; Verch, Rainer
2012
Dynamical locality of the free scalar field. Zbl 1280.81100
Fewster, Christopher J.; Verch, Rainer
2012
On a recent construction of ‘vacuum-like’ quantum field states in curved spacetime. Zbl 1256.83013
Fewster, Christopher J.; Verch, Rainer
2012
Local covariance, renormalization ambiguity, and local thermal equilibrium in cosmology. Zbl 1248.83186
Verch, Rainer
2012
Cosmological particle creation in states of low energy. Zbl 1309.83093
Degner, Andreas; Verch, Rainer
2010
Dirac field on Moyal-Minkowski spacetime and non-commutative potential scattering. Zbl 1208.81189
Borris, Markus; Verch, Rainer
2010
Local thermal equilibrium states and quantum energy inequalities. Zbl 1144.82025
Schlemmer, Jan; Verch, Rainer
2008
Scaling algebras for charge carrying quantum fields and superselection structure at short distances. Zbl 1129.81051
D’Antoni, Claudio; Morsella, Gerardo; Verch, Rainer
2007
Distillability and positivity of partial transposes in general quantum field systems. Zbl 1074.81014
Verch, Rainer; Werner, Reinhard F.
2005
Quantum inequalities in quantum mechanics. Zbl 1074.81048
Eveson, Simon P.; Fewster, Christopher J.; Verch, Rainer
2005
Local covariant quantum field theory over spectral geometries. Zbl 1065.83027
Paschke, Mario; Verch, Rainer
2004
Scaling algebras for charged fields and short-distance analysis for localizable and topological charges. Zbl 1065.81084
D’Antoni, Claudio; Morsella, Gerardo; Verch, Rainer
2004
The generally covariant locality principle – a new paradigm for local quantum field theory. Zbl 1047.81052
Brunetti, Romeo; Fredenhagen, Klaus; Verch, Rainer
2003
Stability of quantum systems at three scales: Passivity, quantum weak energy inequalities and the microlocal spectrum condition. Zbl 1050.81053
Fewster, Christopher J.; Verch, Rainer
2003
Microlocal analysis of quantum fields on curved space-times: analytic wave front sets and Reeh-Schlieder theorems. Zbl 1060.81050
Strohmaier, Alexander; Verch, Rainer; Wollenberg, Manfred
2002
A quantum weak energy inequality for Dirac fields in curved spacetime. Zbl 1026.83028
Fewster, Christopher J.; Verch, Rainer
2002
Microlocal spectrum condition and Hadamard form for vector-valued quantum fields in curved spacetime. Zbl 1029.81053
Sahlmann, Hanno; Verch, Rainer
2001
A spin-statistics theorem for quantum fields on curved spacetime manifolds in a generally covariant framework. Zbl 1086.81067
Verch, Rainer
2001
Charged sectors, spin and statistics in quantum field theory on curved spacetimes. Zbl 1029.81052
Guido, D.; Longo, R.; Roberts, J. E.; Verch, R.
2001
Passivity and microlocal spectrum condition. Zbl 1010.81046
Sahlmann, Hanno; Verch, Rainer
2000
The averaged null energy condition for general quantum field theories in two dimensions. Zbl 0981.81050
Verch, Rainer
2000
Wavefront sets in algebraic quantum field theory. Zbl 1157.81325
Verch, Rainer
1999
Scaling algebras and renormalization group in algebraic quantum field theory. II: Instructive examples. Zbl 0916.46056
Buchholz, D.; Verch, R.
1998
Continuity of symplectically adjoint maps and the algebraic structure of Hadamard vacuum representations for quantum fields on curved spacetime. Zbl 0897.53057
Verch, Rainer
1997
Modular inclusion, the Hawking temperature, and quantum field theory in curved spacetime. Zbl 0844.53056
Summers, Stephen J.; Verch, Rainer
1996
Scaling algebras and renormalization group in algebraic quantum field theory. Zbl 0842.46052
Buchholz, Detlev; Verch, Rainer
1995
Local definiteness, primarity and quasiequivalence of quasifree Hadamard quantum states in curved spacetime. Zbl 0790.53077
Verch, Rainer
1994
Antilocality and a Reeh-Schlieder theorem on manifolds. Zbl 0798.58065
Verch, Rainer
1993
Nuclearity, split property, and duality for the Klein-Gordon field in curved spacetime. Zbl 0799.46082
Verch, Rainer
1993
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#### Cited by 267 Authors

 26 Dappiaggi, Claudio 23 Fewster, Christopher John 22 Pinamonti, Nicola 22 Schenkel, Alexander 22 Verch, Rainer 19 Benini, Marco 13 Fredenhagen, Klaus 12 Drago, Nicolò 11 Sanders, Ko 10 Moretti, Valter 10 Morsella, Gerardo 10 Wrochna, Michał 9 Buchholz, Detlev 9 Hack, Thomas-Paul 9 Hollands, Stefan 9 Ruzzi, Giuseppe 9 Zahn, Jochen 8 Brunetti, Romeo 8 Longo, Roberto 7 Murro, Simone 7 Schroer, Bert 7 Vasselli, Ezio 6 Finster, Felix 6 Gérard, Christian 6 Lechner, Gandalf 6 Rejzner, Kasia 6 Rejzner, Katarzyna 5 Bostelmann, Henning 5 D’Antoni, Claudio 5 Rédei, Miklós 5 Strohmaier, Alexander 5 Wald, Robert M. 4 Bär, Christian 4 Doplicher, Sergio 4 Rüland, Angkana 4 Siemssen, Daniel 4 Summers, Stephen Jeffrey 3 Bahns, Dorothea 3 Brouder, Christian 3 Conti, Roberto 3 Earman, John 3 Guido, Daniele 3 Khavkine, Igor 3 Ojima, Izumi 3 Szabo, Richard J. 3 Thiemann, Thomas 3 Woike, Lukas 2 Afshordi, Niayesh 2 Aslanbeigi, Siavash 2 Becker, Christian 2 Borchers, Hans-Jürgen 2 Bruinsma, Simen 2 Faldino, Federico 2 Faulkner, Thomas 2 Forger, Michael 2 Franco, Daniel H. T. 2 Fröb, Markus B. 2 García-Ferrero, Maria Ángeles 2 Giddings, Steven B. 2 Giorgetti, Luca 2 Gransee, Michael 2 Grosse, Harald 2 Haag, Rudolf 2 Hofer-Szabó, Gábor 2 Kawahigashi, Yasuyuki 2 Keyl, Michael 2 Kopf, Tomáš 2 Lang, Benjamin 2 Marolf, Donald M. 2 Müller, Olaf 2 Porrmann, Martin 2 Rehren, Karl-Henning 2 Rinaldi, Paolo 2 Röken, Christian 2 Schreiber, Urs 2 Sorkin, Rafael Dolnick 2 Stottmeister, Alexander 2 Taslimi Tehrani, Mojtaba 2 van den Dungen, Koenraad Lambertus 2 Vecsernyés, Peter 2 Wang, Huajia 2 Werner, Reinhard F. 2 Wollenberg, Manfred 2 Wulkenhaar, Raimar 1 Anastasiou, Alexandros 1 Andersson, Andreas 1 Avetisyan, Zhirayr G. 1 Bachelot, Alain 1 Bain, Jonathan 1 Balachandran, Aiyalam P. 1 Balakrishnan, Srivatsan 1 Banerjee, Rabin 1 Barroso, Vitor S. 1 Ber, Ran 1 Bernal, Antonio N. 1 Besnard, Fabien 1 Bizi, Nadir 1 Blaschke, Daniel N. 1 Borris, Markus 1 Borsten, Leron ...and 167 more Authors
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#### Cited in 56 Serials

 71 Communications in Mathematical Physics 38 Journal of Mathematical Physics 34 Reviews in Mathematical Physics 31 Annales Henri Poincaré 20 Letters in Mathematical Physics 16 Journal of High Energy Physics 9 General Relativity and Gravitation 9 Journal of Geometry and Physics 6 International Journal of Modern Physics D 6 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 5 International Journal of Modern Physics A 4 Classical and Quantum Gravity 4 Nuclear Physics. B 4 Foundations of Physics 3 Journal of Mathematical Analysis and Applications 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Journal of Noncommutative Geometry 2 International Journal of Theoretical Physics 2 Physics Reports 2 Reports on Mathematical Physics 2 Advances in Mathematics 2 Journal of Functional Analysis 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Mathematical Physics, Analysis and Geometry 2 International Journal of Geometric Methods in Modern Physics 2 Advances in Mathematical Physics 1 International Journal of Modern Physics B 1 Reviews of Modern Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Synthese 1 Annals of Global Analysis and Geometry 1 Differential Geometry and its Applications 1 Annals of Physics 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Theory and Applications of Categories 1 Documenta Mathematica 1 Open Systems & Information Dynamics 1 New Journal of Physics 1 Erkenntnis 1 Communications in Contemporary Mathematics 1 Living Reviews in Relativity 1 Physical Review Letters 1 Journal of Modern Optics 1 Matematicheskoe Modelirovanie 1 International Studies in the Philosophy of Science 1 Entropy 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Kyoto Journal of Mathematics 1 Axioms 1 Philosophical Transactions A. Royal Society of London 1 Mathematics in Engineering
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#### Cited in 36 Fields

 298 Quantum theory (81-XX) 111 Relativity and gravitational theory (83-XX) 99 Functional analysis (46-XX) 40 Partial differential equations (35-XX) 35 Global analysis, analysis on manifolds (58-XX) 32 Differential geometry (53-XX) 22 Operator theory (47-XX) 18 Category theory; homological algebra (18-XX) 18 Statistical mechanics, structure of matter (82-XX) 11 Topological groups, Lie groups (22-XX) 11 Mechanics of particles and systems (70-XX) 5 Geometry (51-XX) 5 Algebraic topology (55-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Information and communication theory, circuits (94-XX) 4 Algebraic geometry (14-XX) 4 Nonassociative rings and algebras (17-XX) 4 $$K$$-theory (19-XX) 4 Manifolds and cell complexes (57-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX)