×

zbMATH — the first resource for mathematics

’t Hooft, Gerard

Compute Distance To:
Author ID: t-hooft.gerard Recent zbMATH articles by "'t Hooft, Gerard"
Published as: ’t Hooft, G.; ’t Hooft, Gerard; ’t Hooft, Gerardus
Homepage: http://www.staff.science.uu.nl/~hooft101/
External Links: MGP · Math-Net.Ru · Wikidata · ResearchGate · GND
Awards: Nobel Prize in Physics (1999)
Documents Indexed: 87 Publications since 1981, including 9 Books

Publications by Year

Citations contained in zbMATH

59 Publications have been cited 639 times in 529 Documents Cited by Year
Quantum gravity as a dissipative deterministic system. Zbl 0937.83015
’t Hooft, Gerard
64
1999
Non-perturbative 2 particle scattering amplitudes in \(2+1\) dimensional quantum gravity. Zbl 0663.47007
’t Hooft, G.
62
1988
The scattering matrix approach for the quantum black hole: An overview. Zbl 1044.81683
’t Hooft, G.
58
1996
Quantization of point particles in \((2+1)\)-dimensional gravity and spacetime discreteness. Zbl 0855.53047
’t Hooft, Gerard
55
1996
Some twisted self-dual solutions for the Yang-Mills equations on a hypertorus. Zbl 0475.35075
’t Hooft, Gerard
39
1981
Physical cosmic strings do not generate closed timelike curves. Zbl 0969.83518
Deser, S.; Jackiw, R.; ’t Hooft, Gerard
24
1992
A class of elementary particle models without any adjustable real parameters. Zbl 1245.81304
’t Hooft, Gerard
21
2011
The cellular automaton interpretation of quantum mechanics. Zbl 1348.81007
’t Hooft, Gerard
20
2016
In search of the ultimate building blocks. Zbl 1344.81006
’t Hooft, Gerard
18
1997
Canonical quantization of gravitating point particles in \(2+1\) dimensions. Zbl 0787.53078
’t Hooft, G.
17
1993
The gravitational effect of colliding planar shells of matter. Zbl 0593.53044
Dray, Tevian; ’t Hooft, Gerard
17
1986
Determinism in free bosons. Zbl 1026.81004
’t Hooft, Gerard
16
2003
Determinism Beneath quantum mechanics. Zbl 1161.81003
’t Hooft, Gerard
15
2005
Quantum mechanics and determinism. Zbl 1056.83004
’t Hooft, Gerard
15
2001
Black hole quantization and a connection to string theory. Zbl 0751.53025
’t Hooft, Gerard
14
1990
Local conformal symmetry: the missing symmetry component for space and time. Zbl 1329.81236
’t Hooft, Gerard
13
2015
Invariance under complex transformations and its relevance to the cosmological constant problem. Zbl 1099.83017
’t Hooft, Gerard; Nobbenhuis, Stefan
10
2006
Classical \(N\)-particle cosmology in \(2+1\) dimensions. Zbl 0793.53107
’t Hooft, G.
10
1993
50 years of Yang-Mills theory. Zbl 1058.81005
’t Hooft, Gerardus (ed.)
9
2005
Under the spell of the gauge principle. Zbl 0881.53063
’t Hooft, Gerard
9
1994
Causality in \((2+1)\)-dimensional gravity. Zbl 0991.83531
’t Hooft, Gerard
9
1992
The fundamental nature of space and time. Zbl 1185.83014
’t Hooft, G.
8
2009
Cosmology in \(2+1\) dimensions. Zbl 0990.83505
’t Hooft, Gerard
8
1993
A locally finite model for gravity. Zbl 1163.83013
’t Hooft, Gerard
7
2008
Perturbative confinement. Zbl 1097.81659
’t Hooft, Gerard
7
2003
The black hole horizon as a quantum surface. Zbl 1063.83550
’t Hooft, G.
7
1991
Emergent quantum mechanics and emergent symmetries. Zbl 1180.81101
’t Hooft, Gerard
6
2007
Obstacles on the way towards the quantisation of space, time and matter - and possible resolutions. Zbl 1222.81092
’t Hooft, Gerard
6
2001
Introduction to general relativity. Zbl 1008.83001
’t Hooft, Gerard
6
2001
Black hole unitarity and antipodal entanglement. Zbl 1352.83009
’t Hooft, Gerard
5
2016
The Black hole horizon as a dynamical system. Zbl 1111.83037
’t Hooft, Gerard
5
2006
Duality between a deterministic cellular automaton and a bosonic quantum field theory in \(1+1\) dimensions. Zbl 1272.81109
’t Hooft, Gerard
4
2013
Classical cellular automata and quantum field theory. Zbl 1202.81139
’t Hooft, Gerard
4
2010
Conclusion talk. Zbl 1131.83021
’t Hooft, Gerard
4
2006
Aspects of quark confinement. Zbl 1063.81685
’t Hooft, G.
4
1981
Relating the quantum mechanics of discrete systems to standard canonical quantum mechanics. Zbl 1322.81009
’t Hooft, Gerard
3
2014
On the foundations of superstring theory. Zbl 1261.81097
’t Hooft, Gerard
3
2013
The holographic mapping of the standard model onto the black hole horizon. I: Abelian vector field, scalar field and BEH mechanism. Zbl 1084.83024
’t Hooft, Gerard
3
2005
Can there be physics without experiments? Challenges and pitfalls. Zbl 1025.81008
’t Hooft, Gerard
3
2001
Counting planar diagrams with various restrictions. Zbl 0948.81609
’t Hooft, Gerard
3
1999
The self-screening Hawking atmosphere – a different approach to quantum black hole microstates. Zbl 0958.83025
’t Hooft, Gerard
3
1998
Black holes, Hawking radiation, and the information paradox. Zbl 0990.83527
’t Hooft, Gerard
3
1995
Models on the boundary between classical and quantum mechanics. Zbl 1353.82010
’t Hooft, Gerard
2
2015
What is quantum mechanics? Zbl 1158.81304
’t Hooft, Gerard
2
2007
Can quantum mechanics be reconciled with cellular automata? Zbl 1026.81003
’t Hooft, Gerard
2
2003
Nobel lecture: A confrontation with infinity. Zbl 1205.81008
’t Hooft, Gerard
2
2000
Trans-Planckian particles and the quantization of time. Zbl 0981.83025
’t Hooft, Gerard
2
1999
The firewall transformation for black holes and some of its implications. Zbl 1384.83030
’t Hooft, Gerard
1
2017
Reflections on the renormalization procedure for gauge theories. Zbl 1349.81140
’t Hooft, Gerard
1
2016
Spontaneous breakdown of local conformal invariance in quantum gravity. Zbl 1336.81081
’t Hooft, Gerard
1
2015
Time in powers of ten. Natural phenomena and their timescales. Translated from the Dutch by Saskia Eisberg-’t Hooft. With a foreword by Steven Weinberg. Zbl 06303722
’t Hooft, Gerard; Vandoren, Stefan
1
2014
Forty years of string theory reflecting on the foundations. Zbl 1263.81004
de Haro, Sebastian; Dieks, Dennis; ’t Hooft, Gerard; Verlinde, Erik
1
2013
Crystalline gravity. Zbl 1176.83135
’t Hooft, Gerard
1
2009
Renormalization and gauge invariance. Zbl 1142.81003
’t Hooft, Gerard
1
2008
Invariance under complex transformations and its relevance to the cosmological constant problem. Zbl 1133.83392
’t Hooft, Gerard; Nobbenhuis, Stefan
1
2007
Renormalization without infinities. Zbl 1073.81064
’t Hooft, Gerard
1
2005
Horizon operator approach to black hole quantization. Zbl 0968.83027
’t Hooft, Gerard
1
1998
Quantization of space and time in 3 and in 4 space-time dimensions. Zbl 0922.58090
’t Hooft, Gerard
1
1997
New symmetry principles in quantum field theory. Proceedings of the NATO Advanced Study Institute held in Cargèse, July 16–27, 1991. Zbl 1222.81031
Fröhlich, J. (ed.); ’t Hooft, G. (ed.); Jaffe, A. (ed.); Mack, G. (ed.); Mitter, P. K. (ed.); Stora, R. (ed.)
1
1992
The firewall transformation for black holes and some of its implications. Zbl 1384.83030
’t Hooft, Gerard
1
2017
The cellular automaton interpretation of quantum mechanics. Zbl 1348.81007
’t Hooft, Gerard
20
2016
Black hole unitarity and antipodal entanglement. Zbl 1352.83009
’t Hooft, Gerard
5
2016
Reflections on the renormalization procedure for gauge theories. Zbl 1349.81140
’t Hooft, Gerard
1
2016
Local conformal symmetry: the missing symmetry component for space and time. Zbl 1329.81236
’t Hooft, Gerard
13
2015
Models on the boundary between classical and quantum mechanics. Zbl 1353.82010
’t Hooft, Gerard
2
2015
Spontaneous breakdown of local conformal invariance in quantum gravity. Zbl 1336.81081
’t Hooft, Gerard
1
2015
Relating the quantum mechanics of discrete systems to standard canonical quantum mechanics. Zbl 1322.81009
’t Hooft, Gerard
3
2014
Time in powers of ten. Natural phenomena and their timescales. Translated from the Dutch by Saskia Eisberg-’t Hooft. With a foreword by Steven Weinberg. Zbl 06303722
’t Hooft, Gerard; Vandoren, Stefan
1
2014
Duality between a deterministic cellular automaton and a bosonic quantum field theory in \(1+1\) dimensions. Zbl 1272.81109
’t Hooft, Gerard
4
2013
On the foundations of superstring theory. Zbl 1261.81097
’t Hooft, Gerard
3
2013
Forty years of string theory reflecting on the foundations. Zbl 1263.81004
de Haro, Sebastian; Dieks, Dennis; ’t Hooft, Gerard; Verlinde, Erik
1
2013
A class of elementary particle models without any adjustable real parameters. Zbl 1245.81304
’t Hooft, Gerard
21
2011
Classical cellular automata and quantum field theory. Zbl 1202.81139
’t Hooft, Gerard
4
2010
The fundamental nature of space and time. Zbl 1185.83014
’t Hooft, G.
8
2009
Crystalline gravity. Zbl 1176.83135
’t Hooft, Gerard
1
2009
A locally finite model for gravity. Zbl 1163.83013
’t Hooft, Gerard
7
2008
Renormalization and gauge invariance. Zbl 1142.81003
’t Hooft, Gerard
1
2008
Emergent quantum mechanics and emergent symmetries. Zbl 1180.81101
’t Hooft, Gerard
6
2007
What is quantum mechanics? Zbl 1158.81304
’t Hooft, Gerard
2
2007
Invariance under complex transformations and its relevance to the cosmological constant problem. Zbl 1133.83392
’t Hooft, Gerard; Nobbenhuis, Stefan
1
2007
Invariance under complex transformations and its relevance to the cosmological constant problem. Zbl 1099.83017
’t Hooft, Gerard; Nobbenhuis, Stefan
10
2006
The Black hole horizon as a dynamical system. Zbl 1111.83037
’t Hooft, Gerard
5
2006
Conclusion talk. Zbl 1131.83021
’t Hooft, Gerard
4
2006
Determinism Beneath quantum mechanics. Zbl 1161.81003
’t Hooft, Gerard
15
2005
50 years of Yang-Mills theory. Zbl 1058.81005
’t Hooft, Gerardus (ed.)
9
2005
The holographic mapping of the standard model onto the black hole horizon. I: Abelian vector field, scalar field and BEH mechanism. Zbl 1084.83024
’t Hooft, Gerard
3
2005
Renormalization without infinities. Zbl 1073.81064
’t Hooft, Gerard
1
2005
Determinism in free bosons. Zbl 1026.81004
’t Hooft, Gerard
16
2003
Perturbative confinement. Zbl 1097.81659
’t Hooft, Gerard
7
2003
Can quantum mechanics be reconciled with cellular automata? Zbl 1026.81003
’t Hooft, Gerard
2
2003
Quantum mechanics and determinism. Zbl 1056.83004
’t Hooft, Gerard
15
2001
Obstacles on the way towards the quantisation of space, time and matter - and possible resolutions. Zbl 1222.81092
’t Hooft, Gerard
6
2001
Introduction to general relativity. Zbl 1008.83001
’t Hooft, Gerard
6
2001
Can there be physics without experiments? Challenges and pitfalls. Zbl 1025.81008
’t Hooft, Gerard
3
2001
Nobel lecture: A confrontation with infinity. Zbl 1205.81008
’t Hooft, Gerard
2
2000
Quantum gravity as a dissipative deterministic system. Zbl 0937.83015
’t Hooft, Gerard
64
1999
Counting planar diagrams with various restrictions. Zbl 0948.81609
’t Hooft, Gerard
3
1999
Trans-Planckian particles and the quantization of time. Zbl 0981.83025
’t Hooft, Gerard
2
1999
The self-screening Hawking atmosphere – a different approach to quantum black hole microstates. Zbl 0958.83025
’t Hooft, Gerard
3
1998
Horizon operator approach to black hole quantization. Zbl 0968.83027
’t Hooft, Gerard
1
1998
In search of the ultimate building blocks. Zbl 1344.81006
’t Hooft, Gerard
18
1997
Quantization of space and time in 3 and in 4 space-time dimensions. Zbl 0922.58090
’t Hooft, Gerard
1
1997
The scattering matrix approach for the quantum black hole: An overview. Zbl 1044.81683
’t Hooft, G.
58
1996
Quantization of point particles in \((2+1)\)-dimensional gravity and spacetime discreteness. Zbl 0855.53047
’t Hooft, Gerard
55
1996
Black holes, Hawking radiation, and the information paradox. Zbl 0990.83527
’t Hooft, Gerard
3
1995
Under the spell of the gauge principle. Zbl 0881.53063
’t Hooft, Gerard
9
1994
Canonical quantization of gravitating point particles in \(2+1\) dimensions. Zbl 0787.53078
’t Hooft, G.
17
1993
Classical \(N\)-particle cosmology in \(2+1\) dimensions. Zbl 0793.53107
’t Hooft, G.
10
1993
Cosmology in \(2+1\) dimensions. Zbl 0990.83505
’t Hooft, Gerard
8
1993
Physical cosmic strings do not generate closed timelike curves. Zbl 0969.83518
Deser, S.; Jackiw, R.; ’t Hooft, Gerard
24
1992
Causality in \((2+1)\)-dimensional gravity. Zbl 0991.83531
’t Hooft, Gerard
9
1992
New symmetry principles in quantum field theory. Proceedings of the NATO Advanced Study Institute held in Cargèse, July 16–27, 1991. Zbl 1222.81031
Fröhlich, J. (ed.); ’t Hooft, G. (ed.); Jaffe, A. (ed.); Mack, G. (ed.); Mitter, P. K. (ed.); Stora, R. (ed.)
1
1992
The black hole horizon as a quantum surface. Zbl 1063.83550
’t Hooft, G.
7
1991
Black hole quantization and a connection to string theory. Zbl 0751.53025
’t Hooft, Gerard
14
1990
Non-perturbative 2 particle scattering amplitudes in \(2+1\) dimensional quantum gravity. Zbl 0663.47007
’t Hooft, G.
62
1988
The gravitational effect of colliding planar shells of matter. Zbl 0593.53044
Dray, Tevian; ’t Hooft, Gerard
17
1986
Some twisted self-dual solutions for the Yang-Mills equations on a hypertorus. Zbl 0475.35075
’t Hooft, Gerard
39
1981
Aspects of quark confinement. Zbl 1063.81685
’t Hooft, G.
4
1981
all top 5

Cited by 746 Authors

16 El Naschie, Mohamed Saladin
14 ’t Hooft, Gerard
8 Faizal, Mir
8 Guendelman, Eduardo I.
8 Khrennikov, Andreĭ Yur’evich
7 Ali, Ahmed Farag
7 Elze, Hans-Thomas
6 Aref’eva, Irina Yaroslavna
5 Nissimov, Emil
5 Pacheva, Svetlana
4 Boschi-Filho, Henrique
4 Braga, Nelson R. F.
4 de Haro, Sebastian
4 Fernández de Córdoba, Pedro
4 Finkelstein, David Ritz
4 Ganai, Prince Ahmad
4 Isidro San Juan, José-Maria
4 Itzhaki, Nissan
4 Kaganovich, Alexander M.
4 Kaloper, Nemanja
4 Li, Miao
4 Nikolić, Hrvoje
4 Schlenker, Jean-Marc
4 Sen, Siddhartha
4 Shah, Mushtaq Bashir
3 Abreu, Everton M. C.
3 Andrianov, Alexander A.
3 Arzano, Michele
3 Barbot, Thierry
3 Bezerra, Valdir B.
3 D’Ariano, Giacomo Mauro
3 Darvas, György
3 Dolce, Donatello
3 Englert, François
3 Giveon, Amit
3 Grumiller, Daniel
3 Gupta, Kumar Sankar
3 Hendi, Seyed Hossein
3 Jizba, Petr
3 Mannheim, Philip D.
3 Mathur, Samir D.
3 Nicolai, Hermann
3 Scardigli, Fabio
3 Sengupta, Anirban
3 Smolin, Lee
3 Starodubtsev, Artem N.
2 Ageev, Dmitriĭ Sergeevich
2 Amelino-Camelia, Giovanni
2 Arcioni, Giovanni
2 Balasubramanian, Vijay
2 Bertolami, Orfeu
2 Birmingham, Danny
2 Bisio, Alessandro
2 Blasone, Massimo
2 Bonsante, Francesco
2 Brodie, John H.
2 Camara da Silva, Ulysses
2 Cannata, Francesco
2 Chattopadhyay, Surajit
2 Chen, Qiyu
2 Colosi, Daniele
2 Cruz, Norman
2 Danielsson, Ulf H.
2 Dappiaggi, Claudio
2 Davidson, Mark P.
2 de Boer, Jan
2 Delcamp, Clement
2 Demir, Durmus Ali
2 Deser, Stanley
2 Dittrich, Bianca
2 Dohse, Max
2 Donninger, Roland
2 Dzhunushaliev, Vladimir
2 Esposito, Giampiero
2 Faria, Felipe F.
2 Gadelha, Alexandre L.
2 Gallego Torromé, Ricardo
2 García-Morales, Vladimir
2 García Pérez, Margarita
2 Ghilencea, D. M.
2 Giné, Jaume
2 Giri, Suvendu
2 González-Arroyo, Antonio
2 Halilsoy, Mustafa
2 Hassan, Siti F.
2 Jackiw, Roman W.
2 Jamil, Mubasher
2 Kalkkinen, Jussi
2 Kamali, A. D.
2 Kamenshchik, Aleksandr Yur’evich
2 Kehagias, Alex
2 Kempf, Achim
2 Khurshudyan, Martiros
2 Latrémolière, Frédéric
2 Lepe, Samuel
2 Levkov, Dmitry
2 Liberati, Stefano
2 Liu, Chengzhou
2 Lüst, Dieter
2 Malyshev, Vadim Aleksandrovich
...and 646 more Authors
all top 5

Cited in 74 Serials

56 Journal of High Energy Physics
50 Nuclear Physics. B
40 Foundations of Physics
35 International Journal of Modern Physics A
30 General Relativity and Gravitation
29 International Journal of Theoretical Physics
28 Journal of Mathematical Physics
22 Physics Letters. B
22 Chaos, Solitons and Fractals
20 Communications in Mathematical Physics
17 International Journal of Modern Physics D
16 Modern Physics Letters A
12 Theoretical and Mathematical Physics
11 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
10 Physics Letters. A
8 Journal of Geometry and Physics
7 International Journal of Geometric Methods in Modern Physics
7 Advances in High Energy Physics
6 Classical and Quantum Gravity
6 Annals of Physics
5 Physics Reports
5 Nuclear Physics, B, Proceedings Supplements
5 Physical Review Letters
4 Living Reviews in Relativity
4 Entropy
4 Foundations of Physics Letters
4 Theoretical Economics
3 Reviews of Modern Physics
2 Journal of Statistical Physics
2 Letters in Mathematical Physics
2 Geometriae Dedicata
2 Synthese
2 Transactions of the American Mathematical Society
2 New Journal of Physics
2 Nonlinear Analysis. Real World Applications
2 International Studies in the Philosophy of Science
2 International Journal of Quantum Information
2 The European Physical Journal C. Particles and Fields
2 Journal of Physics A: Mathematical and Theoretical
2 Advances in Mathematical Physics
1 International Journal of Modern Physics B
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Lithuanian Mathematical Journal
1 Problems of Information Transmission
1 Reports on Mathematical Physics
1 Fortschritte der Physik
1 The Annals of Statistics
1 Journal of Mathematical Psychology
1 Kybernetes
1 Mathematische Zeitschrift
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerische Mathematik
1 Physica D
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Advances in Applied Clifford Algebras
1 Journal of Difference Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Doklady Mathematics
1 Open Systems & Information Dynamics
1 Geometry & Topology
1 Chaos
1 Communications in Nonlinear Science and Numerical Simulation
1 Russian Physics Journal
1 Annales Henri Poincaré
1 Gravitation & Cosmology
1 Czechoslovak Journal of Physics
1 Physical Review D. Series III
1 Quantum Information Processing
1 Science in China. Series G
1 Symmetry
1 Communications in Mathematics
1 Annalen der Physik
1 AMM. Applied Mathematics and Mechanics. (English Edition)
all top 5

Cited in 48 Fields

330 Quantum theory (81-XX)
308 Relativity and gravitational theory (83-XX)
54 Differential geometry (53-XX)
28 Mechanics of particles and systems (70-XX)
27 Statistical mechanics, structure of matter (82-XX)
23 Dynamical systems and ergodic theory (37-XX)
21 Information and communication theory, circuits (94-XX)
19 Global analysis, analysis on manifolds (58-XX)
16 Astronomy and astrophysics (85-XX)
14 Partial differential equations (35-XX)
14 Classical thermodynamics, heat transfer (80-XX)
12 Nonassociative rings and algebras (17-XX)
11 General and overarching topics; collections (00-XX)
11 Optics, electromagnetic theory (78-XX)
8 Computer science (68-XX)
7 Manifolds and cell complexes (57-XX)
6 Topological groups, Lie groups (22-XX)
6 Functional analysis (46-XX)
6 Statistics (62-XX)
5 History and biography (01-XX)
5 Algebraic topology (55-XX)
4 Ordinary differential equations (34-XX)
4 Probability theory and stochastic processes (60-XX)
4 Numerical analysis (65-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Mathematical logic and foundations (03-XX)
3 Combinatorics (05-XX)
3 Number theory (11-XX)
3 Algebraic geometry (14-XX)
3 Functions of a complex variable (30-XX)
3 Operator theory (47-XX)
3 Mechanics of deformable solids (74-XX)
3 Fluid mechanics (76-XX)
2 Group theory and generalizations (20-XX)
2 Measure and integration (28-XX)
2 Special functions (33-XX)
2 Difference and functional equations (39-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
1 Field theory and polynomials (12-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 Geophysics (86-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.