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Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications

Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications
Author: Jurg Frohlich
Publisher: World Scientific
Total Pages: 855
Release: 1992-04-29
Genre:
ISBN: 9814506567

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Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.


Recent Developments in Nonperturbative Quantum Field Theory

Recent Developments in Nonperturbative Quantum Field Theory
Author: Y. M. Cho
Publisher: World Scientific Publishing Company Incorporated
Total Pages: 397
Release: 1998
Genre: Science
ISBN: 9789810235857

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Contains papers from a May 1997 conference. Subjects include a new formulation for lattice gauge theories, Gaussian approximation and the perturbative expansion around it, mixed non-abelian coulomb gas in two dimensions, calculation of pseudoscalar and vector heavy-light meson decay constants, chiral gauge theories in overlap formalism, and fixed-point four-Fermi theories. No index. Annotation copyrighted by Book News, Inc., Portland, OR


Nonperturbative Quantum Field Theory and the Structure of Matter

Nonperturbative Quantum Field Theory and the Structure of Matter
Author: T. Borne
Publisher: Springer Science & Business Media
Total Pages: 343
Release: 2005-12-19
Genre: Science
ISBN: 0306471310

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"This book, which presents a new view of quantum field theory, may serve as a research monograph and an alternative textbook examining topics which are not usually treated in conventional works." "Audience: This volume will appeal to researchers concerned with the foundation of the theory of matter and forces including gravitation. It will also be interesting to those working with quantum field theoretic methods in various disciplines, such as particle physics, nuclear physics, condensed mater physics, and relativity."--Jacket.


Non-perturbative Methods in 2 Dimensional Quantum Field Theory

Non-perturbative Methods in 2 Dimensional Quantum Field Theory
Author: Elcio Abdalla
Publisher: World Scientific
Total Pages: 834
Release: 2001
Genre: Science
ISBN: 9812810153

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The second edition of Non-Perturbative Methods in Two-Dimensional Quantum Field Theory is an extensively revised version, involving major changes and additions. Although much of the material is special to two dimensions, the techniques used should prove helpful also in the development of techniques applicable in higher dimensions. In particular, the last three chapters of the book will be of direct interest to researchers wanting to work in the field of conformal field theory and strings. This book is intended for students working for their PhD degree and post-doctoral researchers wishing to acquaint themselves with the non-perturbative aspects of quantum field theory. Contents: Free Fields; The Thirring Model; Determinants and Heat Kernels; Self-Interacting Fermionic Models; Nonlinear a Models: Classical Aspects; Nonlinear a Models OCo Quantum Aspects; Exact S-Matrices of 2D Models; The Wess-Zumino-Witten Theory; QED 2: Operator Approach; Quantum Chromodynamics; QED 2: Functional Approach; The Finite Temperature Schwinger Model; Non-Abelian Chiral Gauge Theories; Chiral Quantum Electrodynamics; Conformally Invariant Field Theory; Conformal Field Theory with Internal Symmetry; 2D Gravity and String-Related Topics. Readership: Graduate students and researchers in high energy and quantum physics."


Nonperturbative Quantum Field Theory

Nonperturbative Quantum Field Theory
Author: G. Hooft
Publisher: Springer Science & Business Media
Total Pages: 603
Release: 2012-12-06
Genre: Science
ISBN: 1461307295

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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.


Instantons and Large N

Instantons and Large N
Author:
Publisher:
Total Pages:
Release: 2015
Genre: Instantons
ISBN: 9781107672321

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Non-perturbative Quantum Field Theory

Non-perturbative Quantum Field Theory
Author: Jürg Fröhlich
Publisher: World Scientific Publishing Company Incorporated
Total Pages: 841
Release: 1992
Genre: Science
ISBN: 9789810204327

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Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.


Recent Developments in Quantum Field Theory

Recent Developments in Quantum Field Theory
Author: J. Ambjorn
Publisher: Elsevier
Total Pages: 307
Release: 2012-12-02
Genre: Science
ISBN: 0444598391

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Theoretical particle physicists discuss the present status and, in particular, the latest developments in quantum field theory, in their broadest aspects. This volume contains the main lectures presented at the symposium and reflects the contemporary status of a line of development, one of whose initiators was Niels Bohr.


Non-perturbative Methods In Two Dimensional Quantum Field Theory

Non-perturbative Methods In Two Dimensional Quantum Field Theory
Author: Elcio Abdalla
Publisher: World Scientific
Total Pages: 752
Release: 1991-08-12
Genre: Science
ISBN: 9814506516

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This book is a survey of methods used in the study of two-dimensional models in quantum field theory as well as applications of these theories in physics. It covers the subject since the first model, studied in the fifties, up to modern developments in string theories, and includes exact solutions, non-perturbative methods of study, and nonlinear sigma models.