Jaffe, Arthur 1937
Overview
Works:  34 works in 160 publications in 4 languages and 2,847 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor 
Classifications:  QC174.45, 530.143 
Publication Timeline
.
Most widely held works about
Arthur Jaffe
 Oral history interview with Arthur M. Jaffe by Arthur Jaffe( )
 Jaffe, Arthur Michael : mathematical physics( )
Most widely held works by
Arthur Jaffe
Quantum physics : a functional integral point of view by
James Glimm(
Book
)
34 editions published between 1981 and 1987 in 4 languages and held by 941 WorldCat member libraries worldwide
Describes fifteen years' work which has led to the construc tion of solutions to nonlinear relativistic local field e quations in 2 and 3 spacetime dimensions. Gives proof of the existence theorem in 2 dimensions and describes many properties of the solutions
34 editions published between 1981 and 1987 in 4 languages and held by 941 WorldCat member libraries worldwide
Describes fifteen years' work which has led to the construc tion of solutions to nonlinear relativistic local field e quations in 2 and 3 spacetime dimensions. Gives proof of the existence theorem in 2 dimensions and describes many properties of the solutions
Vortices and monopoles : structure of static gauge theories by
Arthur Jaffe(
Book
)
15 editions published between 1980 and 1981 in 3 languages and held by 366 WorldCat member libraries worldwide
15 editions published between 1980 and 1981 in 3 languages and held by 366 WorldCat member libraries worldwide
The Millennium prize problems(
Book
)
9 editions published in 2006 in English and held by 313 WorldCat member libraries worldwide
"On May 24, 2000, at a meeting at the Collège de France, the Clay Mathematics Institute announced the creation of a US$7 million prize fund for the solution of seven important classic problems that have resisted solution. The prize fund is divided equally among the seven problems. There is no time limit for their solution. The Millennium Prize problems gives the official description of each of the seven problems and the rules governing the prizes"Information screen
9 editions published in 2006 in English and held by 313 WorldCat member libraries worldwide
"On May 24, 2000, at a meeting at the Collège de France, the Clay Mathematics Institute announced the creation of a US$7 million prize fund for the solution of seven important classic problems that have resisted solution. The prize fund is divided equally among the seven problems. There is no time limit for their solution. The Millennium Prize problems gives the official description of each of the seven problems and the rules governing the prizes"Information screen
Statistical physics and dynamical systems : rigorous results by
J Fritz(
Book
)
10 editions published in 1985 in English and held by 205 WorldCat member libraries worldwide
10 editions published in 1985 in English and held by 205 WorldCat member libraries worldwide
Quantum field theory and statistical mechanics : expositions by
James Glimm(
Book
)
16 editions published in 1985 in English and German and held by 175 WorldCat member libraries worldwide
This volume contains a selection of expository articles on quantum field theory and statistical mechanics by James Glimm and Arthur Jaffe. They include a solution of the original interacting quantum field equations and a description of the physics which these equations contain. Quantum fields were proposed in the late 1920s as the natural framework which combines quantum theory with relativ ity. They have survived ever since. The mathematical description for quantum theory starts with a Hilbert space H of state vectors. Quantum fields are linear operators on this space, which satisfy nonlinear wave equations of fundamental physics, including coupled Dirac, Max well and YangMills equations. The field operators are restricted to satisfy a "locality" requirement that they commute (or anticommute in the case of fer mions) at spacelike separated points. This condition is compatible with finite propagation speed, and hence with special relativity. Asymptotically, these fields converge for large time to linear fields describing free particles. Using these ideas a scattering theory had been developed, based on the existence of local quantum fields
16 editions published in 1985 in English and German and held by 175 WorldCat member libraries worldwide
This volume contains a selection of expository articles on quantum field theory and statistical mechanics by James Glimm and Arthur Jaffe. They include a solution of the original interacting quantum field equations and a description of the physics which these equations contain. Quantum fields were proposed in the late 1920s as the natural framework which combines quantum theory with relativ ity. They have survived ever since. The mathematical description for quantum theory starts with a Hilbert space H of state vectors. Quantum fields are linear operators on this space, which satisfy nonlinear wave equations of fundamental physics, including coupled Dirac, Max well and YangMills equations. The field operators are restricted to satisfy a "locality" requirement that they commute (or anticommute in the case of fer mions) at spacelike separated points. This condition is compatible with finite propagation speed, and hence with special relativity. Asymptotically, these fields converge for large time to linear fields describing free particles. Using these ideas a scattering theory had been developed, based on the existence of local quantum fields
Collected papers by
James Glimm(
Book
)
15 editions published between 1984 and 1985 in English and Undetermined and held by 117 WorldCat member libraries worldwide
15 editions published between 1984 and 1985 in English and Undetermined and held by 117 WorldCat member libraries worldwide
Constructive quantum field theory : selected papers by
James Glimm(
Book
)
12 editions published in 1985 in English and held by 84 WorldCat member libraries worldwide
12 editions published in 1985 in English and held by 84 WorldCat member libraries worldwide
Quantum field theory : a selection of papers in memorian Kurt Symanzik by
Arthur Jaffe(
Book
)
5 editions published in 1985 in English and Italian and held by 79 WorldCat member libraries worldwide
Kurt Symanzik was certainly one of the most outstanding theoretical physicists of our time. For thirty years, until his untimely death in 1983, he helped to shape the present form of quantum field theory and its application to elementary particle physics. In memoriam of Kurt" Symanzik leading scientists present their most recent results, giving, at the same time, an overview of the state of the art. This collection was originally published in Vol. 97, 1/2 (1985) of Communications in Mathematical Physics. They range over various inter related topics of interest to Kurt Symanzik. We hope that making this collection available in an accessible and inexpensive way will benefit the physics community. The Publisher Contents To the Memory of Kurt Symanzik 1 By A. Jaffe, H. Lehmann, and G. Mack Monte Carlo Simulations for Quantum Field Theories Involving Fermions. By M. Karowski, R. Schrader, and H.J. Thun (With 8 Figures) ... ... 5 SU(2) Lattice Gauge Theory: Standard Action Versus Symanzik's TreeImproved Action. By B. Berg, A. Billoire, S. Meyer, and C. Panagiotakopoulos (With 13 Figures). ... 31 . Onshell Improved Lattice Gauge Theories By M. Luscher and P. Weisz (With 3 Figures) ... 59 On the Modular Structure of Local Algebras of Observables By K. Fredenhagen ... ... 79 ... The Intersection of Brownian Paths as a Case Study of a Renormalization Group Method for Quantum Field Theory By M. Aizenman (With 3 Figures). ... . 91 Intersection Properties of Simple Random Walks: A Renormalization Group Approach. By G. Felder and J. Frohlich. ... 111
5 editions published in 1985 in English and Italian and held by 79 WorldCat member libraries worldwide
Kurt Symanzik was certainly one of the most outstanding theoretical physicists of our time. For thirty years, until his untimely death in 1983, he helped to shape the present form of quantum field theory and its application to elementary particle physics. In memoriam of Kurt" Symanzik leading scientists present their most recent results, giving, at the same time, an overview of the state of the art. This collection was originally published in Vol. 97, 1/2 (1985) of Communications in Mathematical Physics. They range over various inter related topics of interest to Kurt Symanzik. We hope that making this collection available in an accessible and inexpensive way will benefit the physics community. The Publisher Contents To the Memory of Kurt Symanzik 1 By A. Jaffe, H. Lehmann, and G. Mack Monte Carlo Simulations for Quantum Field Theories Involving Fermions. By M. Karowski, R. Schrader, and H.J. Thun (With 8 Figures) ... ... 5 SU(2) Lattice Gauge Theory: Standard Action Versus Symanzik's TreeImproved Action. By B. Berg, A. Billoire, S. Meyer, and C. Panagiotakopoulos (With 13 Figures). ... 31 . Onshell Improved Lattice Gauge Theories By M. Luscher and P. Weisz (With 3 Figures) ... 59 On the Modular Structure of Local Algebras of Observables By K. Fredenhagen ... ... 79 ... The Intersection of Brownian Paths as a Case Study of a Renormalization Group Method for Quantum Field Theory By M. Aizenman (With 3 Figures). ... . 91 Intersection Properties of Simple Random Walks: A Renormalization Group Approach. By G. Felder and J. Frohlich. ... 111
Probability applied to physics by
James Glimm(
Book
)
3 editions published in 1978 in English and held by 37 WorldCat member libraries worldwide
3 editions published in 1978 in English and held by 37 WorldCat member libraries worldwide
Current developments in mathematics, 1996(
Book
)
2 editions published in 1997 in English and held by 24 WorldCat member libraries worldwide
2 editions published in 1997 in English and held by 24 WorldCat member libraries worldwide
Collected papers by
James Glimm(
Book
)
6 editions published in 1985 in English and Undetermined and held by 21 WorldCat member libraries worldwide
6 editions published in 1985 in English and Undetermined and held by 21 WorldCat member libraries worldwide
Collected papers by
James Glimm(
Book
)
1 edition published in 1985 in Undetermined and held by 13 WorldCat member libraries worldwide
1 edition published in 1985 in Undetermined and held by 13 WorldCat member libraries worldwide
Progress in gauge field theory by
G. 't Hooft(
Book
)
2 editions published between 1983 and 1984 in English and held by 7 WorldCat member libraries worldwide
The importance of gauge theory for elementary particle physics is by now firmly established. Recent experiments have yielded con vincing evidence for the existence of intermediate bosons, the carriers of the electroweak gauge force, as well as for the presence of gluons, the carriers of the strong gauge force, in hadronic inter actions. For the gauge theory of strong interactions, however, a number of important theoretical problems remain to be definitely resolved. They include the quark confinement problem, the quantita tive study of the hadron mass spectrum as well as the role of topo logy in quantum gauge field theory. These problems require for their solution the development and application of nonperturbative methods in quantum gauge field theory. These problems, and their nonpertur bative analysis, formed the central interest of the 1983 Cargese summer institute on "Progress in Gauge Field Theory." In this sense it was a natural sequel to the 1919 Cargese summer institute on "Recent Developments in Gauge Theories." Lattice gauge theory provides a systematic framework for the investigation of nonperturbative quantum effects. Accordingly, a large number of lectures dealt with lattice gauge theory. Following a systematic introduction to the subject, the renormalization group method was developed both as a rigorous tool for fundamental questions, and in the blockspin formulation, the computations by Monte Carlo programs. A detailed analysis was presented of the problems encountered in computer simulations. Results obtained by this method on the mass spectrum were reviewed
2 editions published between 1983 and 1984 in English and held by 7 WorldCat member libraries worldwide
The importance of gauge theory for elementary particle physics is by now firmly established. Recent experiments have yielded con vincing evidence for the existence of intermediate bosons, the carriers of the electroweak gauge force, as well as for the presence of gluons, the carriers of the strong gauge force, in hadronic inter actions. For the gauge theory of strong interactions, however, a number of important theoretical problems remain to be definitely resolved. They include the quark confinement problem, the quantita tive study of the hadron mass spectrum as well as the role of topo logy in quantum gauge field theory. These problems require for their solution the development and application of nonperturbative methods in quantum gauge field theory. These problems, and their nonpertur bative analysis, formed the central interest of the 1983 Cargese summer institute on "Progress in Gauge Field Theory." In this sense it was a natural sequel to the 1919 Cargese summer institute on "Recent Developments in Gauge Theories." Lattice gauge theory provides a systematic framework for the investigation of nonperturbative quantum effects. Accordingly, a large number of lectures dealt with lattice gauge theory. Following a systematic introduction to the subject, the renormalization group method was developed both as a rigorous tool for fundamental questions, and in the blockspin formulation, the computations by Monte Carlo programs. A detailed analysis was presented of the problems encountered in computer simulations. Results obtained by this method on the mass spectrum were reviewed
Quantum field theory models by
James Glimm(
Book
)
in English and held by 5 WorldCat member libraries worldwide
in English and held by 5 WorldCat member libraries worldwide
The millennium prize problems Clay Mathematics Institute, millennium meeting, Collège de France, Paris, May 2425, 2000 by
John Torrence Tate(
Visual
)
1 edition published in 2000 in English and held by 3 WorldCat member libraries worldwide
Atiyah explains four of the Millennium Prize Problems (Poincaré conjecture, Hodge conjecture, YangMills theory, and NavierStokes equations) and places them in historical context
1 edition published in 2000 in English and held by 3 WorldCat member libraries worldwide
Atiyah explains four of the Millennium Prize Problems (Poincaré conjecture, Hodge conjecture, YangMills theory, and NavierStokes equations) and places them in historical context
Constructive quantum field theory : lectures given at the Eidgenössische Technische Hochschule, Zürich, Switzerland, summer
1968 by
Arthur Jaffe(
Book
)
2 editions published in 1968 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1968 in English and held by 3 WorldCat member libraries worldwide
Recent developments in gauge theories by
G. 't Hooft(
Book
)
3 editions published in 1980 in English and held by 1 WorldCat member library worldwide
3 editions published in 1980 in English and held by 1 WorldCat member library worldwide
New symmetry principles in quantum field theory by
Jürg Fröhlich(
)
2 editions published in 1992 in English and held by 0 WorldCat member libraries worldwide
2 editions published in 1992 in English and held by 0 WorldCat member libraries worldwide
Nonperturbative quantum field theory by
G. 't Hooft(
)
2 editions published in 1989 in English and held by 0 WorldCat member libraries worldwide
During the past 15 years, quantum field theory and classical statistical mechanics have merged into a single field, and the need for nonperturbative methods for the description of critical phenomena in statistical mechanics as well as for problems in elementary particle physics are generally acknowledged. Such methods formed the central theme of the 1987 Cargese Advanced Study Institut. e on "Nonpert. urbat. ive Quantum Field Theory." The use of conformal symmet. ry has been of central interest in recent years, and was a main subject at. t. he ASI. Conformal invariant quantum field theory describes statistical mechanical systems exactly at a critical point, and can be analysed to a remarkable ext. ent. by group t. heoretical methods. Very strong results have been obtained for 2dimensional systems. Conformal field theory is also the basis of string theory, which offers some hope of providing a unified t. heory of all interactions between elementary particles. Accordingly, a number of lectures and seminars were presented on these two topics. After syst. ematic introductory lectures, conformal field theory on Riemann surfaces, orbifolds, sigma models, and application of loop group theory and Grassmannians were discussed, and some ideas on modular geometry were presented. Other lectures combined' traditional techniques of constructive quant. um field theory with new methods such as the use of indext. heorems and infinite dimensional (Kac Moody) symmetry groups. The problems encountered in a quantum mechanical description of black holes were discussed in detail
2 editions published in 1989 in English and held by 0 WorldCat member libraries worldwide
During the past 15 years, quantum field theory and classical statistical mechanics have merged into a single field, and the need for nonperturbative methods for the description of critical phenomena in statistical mechanics as well as for problems in elementary particle physics are generally acknowledged. Such methods formed the central theme of the 1987 Cargese Advanced Study Institut. e on "Nonpert. urbat. ive Quantum Field Theory." The use of conformal symmet. ry has been of central interest in recent years, and was a main subject at. t. he ASI. Conformal invariant quantum field theory describes statistical mechanical systems exactly at a critical point, and can be analysed to a remarkable ext. ent. by group t. heoretical methods. Very strong results have been obtained for 2dimensional systems. Conformal field theory is also the basis of string theory, which offers some hope of providing a unified t. heory of all interactions between elementary particles. Accordingly, a number of lectures and seminars were presented on these two topics. After syst. ematic introductory lectures, conformal field theory on Riemann surfaces, orbifolds, sigma models, and application of loop group theory and Grassmannians were discussed, and some ideas on modular geometry were presented. Other lectures combined' traditional techniques of constructive quant. um field theory with new methods such as the use of indext. heorems and infinite dimensional (Kac Moody) symmetry groups. The problems encountered in a quantum mechanical description of black holes were discussed in detail
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Related Identities
 Glimm, James Author
 Taubes, Clifford 1954
 Wiles, Andrew Editor
 Carlson, James A. 1946 Editor
 Clay Mathematics Institute Publisher Editor
 American Mathematical Society Publisher Editor
 Szász, D. Editor
 Fritz, J. Author Editor
 Mitter, P. K.
 Stora, R.
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BirchSwinnertonDyer conjecture Canada College teachers Critical phenomena (Physics) Field theory (Physics) Gauge fields (Physics) Geometry, Differential Harmonic analysis Lie algebras Magnetic monopoles Mathematical physics Mathematics MathematicsAwards MathematicsResearch NavierStokes equations Numerical analysis Phase transformations (Statistical physics) Physicists Physics Prizes (Property captured at sea) Probabilities Quantum field theory Quantum theory Random fields Scientists Statistical mechanics Statistical physics Symanzik, Kurt Symmetry (Physics) Topology United States Universities and collegesFaculty YangMills theory
Alternative Names
Arthur Jaffe Amerikaans wiskundige
Arthur Jaffe amerikansk fysiker och matematiker
Arthur Jaffe amerikansk fysiker og matematiker
Arthur Jaffe USamerikanischer mathematischer Physiker
Arthur Michael Jaffe
Džaffe, A.
Jaffe, A.
Jaffe, A. 1937
Jaffe, A. (Arthur), 1937
Jaffe, Arthur
Jaffe, Arthur M. 1937
Jaffe, Arthur Michael
Jaffe, Arthur Michael 1937
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