WorldCat Identities

Jaffe, Arthur 1937-

Overview
Works: 54 works in 200 publications in 4 languages and 2,948 library holdings
Genres: Biography  Autobiographies  Conference papers and proceedings  Records and correspondence  Biographies 
Roles: Author, Editor
Classifications: BF109.J8, 150.1954092
Publication Timeline
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Most widely held works about Arthur Jaffe
 
Most widely held works by Arthur Jaffe
Quantum physics : a functional integral point of view by James Glimm( Book )

35 editions published between 1981 and 1987 in 3 languages and held by 1,038 WorldCat member libraries worldwide

Describes fifteen years' work which has led to the construc- tion of solutions to non-linear relativistic local field e- quations in 2 and 3 space-time 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 )

19 editions published between 1980 and 1981 in 3 languages and held by 369 WorldCat member libraries worldwide

The Millennium prize problems( Book )

9 editions published in 2006 in English and held by 320 WorldCat member libraries worldwide

"Guided by the premise that solving some of the world's most important mathematical problems will advance the field, this book offers a fascinating look at the seven unsolved Millennium Prize problems. This work takes the unprecedented approach of describing these important and difficult problems at the professional level. In announcing the seven problems and a US$7 million prize fund in 2000, the Clay Mathematics Institute emphasized that mathematics still constitutes an open frontier with important unsolved problems. The descriptions in this book serve the Institute's mission to "further the beauty, power and universality of mathematical thinking." Separate chapters are devoted to each of the seven problems: the Birch and Swinnerton-Dyer Conjecture, the Hodge Conjecture, the Navier-Stokes Equation, the P versus NP Problem, the Poincaré Conjecture, the Riemann Hypothesis, and Quantum Yang-Mills Theory"--Publisher's website
Statistical physics and dynamical systems : rigorous results by J Fritz( Book )

10 editions published in 1985 in English and held by 250 WorldCat member libraries worldwide

Quantum field theory and statistical mechanics : expositions by James Glimm( Book )

15 editions published in 1985 in English and German and held by 221 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 Yang-Mills equations. The field operators are restricted to satisfy a "locality" requirement that they commute (or anti-commute in the case of fer mions) at space-like 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
Quantum field theory : a selection of papers in memorian Kurt Symanzik by Arthur Jaffe( Book )

6 editions published in 1985 in English and Italian and held by 127 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 Tree-Improved Action. By B. Berg, A. Billoire, S. Meyer, and C. Panagiotakopoulos (With 13 Figures). ... 31 . On-shell 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
Collected papers by James Glimm( Book )

16 editions published between 1984 and 1985 in English and Undetermined and held by 113 WorldCat member libraries worldwide

Constructive quantum field theory : selected papers by James Glimm( Book )

12 editions published in 1985 in English and Undetermined and held by 97 WorldCat member libraries worldwide

Progress in gauge field theory by G. 't Hooft( )

2 editions published between 1983 and 1984 in English and held by 56 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 non-perturbative methods in quantum gauge field theory. These problems, and their non-pertur 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 non-perturbative 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 block-spin 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
Recent developments in gauge theories by G. 't Hooft( )

4 editions published in 1980 in English and held by 51 WorldCat member libraries worldwide

Almost all theories of fundamental interactions are nowadays based on the gauge concept. Starting with the historical example of quantum electrodynamics, we have been led to the successful unified gauge theory of weak and electromagnetic interactions, and finally to a non abelian gauge theory of strong interactions with the notion of permanently confined quarks. The. early theoretical work on gauge theories was devoted to proofs of renormalizability, investigation of short distance behaviour, the discovery of asymptotic freedom, etc . . , aspects which were accessible to tools extrapolated from renormalised perturbation theory. The second phase of the subject is concerned with the problem of quark confinement which necessitates a non-perturbative understanding of gauge theories. This phase has so far been marked by the introduc­ tion of ideas from geometry, topology and statistical mechanics in particular the theory of phase transitions. The 1979 Cargese Institute on "Recent Developments on Gauge Theories" was devoted to a thorough discussion of these non-perturbative, global aspects of non-abelian gauge theories. In the lectures and seminars reproduced in this volume the reader wilf find detailed reports on most of the important developments of recent times on non perturbative gauge fields by some of the leading experts and innovators in this field. Aside from lectures on gauge fields proper, there were lectures on gauge field concepts in condensed matter physics and lectures by mathematicians on global aspects of the calculus of variations, its relation to geometry and topology, and related topics
New symmetry principles in quantum field theory by Jürg Fröhlich( )

2 editions published in 1992 in English and held by 50 WorldCat member libraries worldwide

Soon after the discovery of quantum mechanics, group theoretical methods were used extensively in order to exploit rotational symmetry and classify atomic spectra. And until recently it was thought that symmetries in quantum mechanics should be groups. But it is not so. There are more general algebras, equipped with suitable structure, which admit a perfectly conventional interpretation as a symmetry of a quantum mechanical system. In any case, a "trivial representation" of the algebra is defined, and a tensor product of representations. But in contrast with groups, this tensor product needs to be neither commutative nor associative. Quantum groups are special cases, in which associativity is preserved. The exploitation of such "Quantum Symmetries" was a central theme at the Ad­ vanced Study Institute. Introductory lectures were presented to familiarize the participants with the al­ gebras which can appear as symmetries and with their properties. Some models of local field theories were discussed in detail which have some such symmetries, in par­ ticular conformal field theories and their perturbations. Lattice models provide many examples of quantum theories with quantum symmetries. They were also covered at the school. Finally, the symmetries which are the cause of the solubility of inte­ grable models are also quantum symmetries of this kind. Some such models and their nonlocal conserved currents were discussed
Nonperturbative quantum field theory by G Hooft( )

4 editions published between 1988 and 1989 in English and held by 49 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 2-dimensional 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 index-t. heorems and infinite dimensional (Kac Moody) symmetry groups. The problems encountered in a quantum mechanical description of black holes were discussed in detail
Probability applied to physics by James Glimm( Book )

3 editions published in 1978 in English and held by 42 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

Collected papers by James Glimm( Book )

6 editions published in 1985 in English and Undetermined and held by 20 WorldCat member libraries worldwide

Letters, Vol. 1 : 1906-1950 by C. G Jung( Book )

1 edition published in 1973 in English and held by 19 WorldCat member libraries worldwide

Progress in physics( )

in English and held by 17 WorldCat member libraries worldwide

Memories, dreams, reflections by C. G Jung( Book )

3 editions published between 1973 and 1994 in Dutch and English and held by 12 WorldCat member libraries worldwide

The autobiography of Carl Jung
Die meteorologischen Bedingungen des Einsatzes von Silberjodid zur Wolkenbeeinflussung by Hans Gerhard Müller( Book )

3 editions published in 1965 in German and held by 9 WorldCat member libraries worldwide

Current developments in mathematics by Raoul Bott( Book )

3 editions published in 1994 in English and Italian and held by 6 WorldCat member libraries worldwide

 
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The Millennium prize problems
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Quantum field theory and statistical mechanics : expositionsCollected papersConstructive quantum field theory : selected papersCollected papersMemories, dreams, reflectionsCurrent developments in mathematics
Alternative Names
Arthur Jaffe Amerikaans wiskundige

Arthur Jaffe amerikansk fysiker och matematiker

Arthur Jaffe amerikansk fysiker og matematiker

Arthur Jaffe US-amerikanischer mathematischer Physiker

Arthur Michael Jaffe

Džaffe, A.

Jaffe, A.

Jaffe, A. 1937-

Jaffe, A. (Arthur), 1937-

Jaffe, A. M.

Jaffe, Arthur

Jaffe, Arthur M.

Jaffe, Arthur M. 1937-

Jaffe, Arthur Michael

Jaffe, Arthur Michael 1937-

Артур Джаффе

آرثر جافي

아서 재피

アーサー・ジャッフェ

亚瑟·贾菲

阿瑟·贾菲

Languages
English (146)

German (6)

Italian (3)

Dutch (2)