Non Perturbative Qft Methods And Their Applications

Author : Jurg Frohlich
Publisher : World Scientific
Page : 854 pages
File Size : 54,7 Mb
Release : 1992-04-29
Category : Electronic
ISBN : 9789814506564

Get Book

Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications by Jurg Frohlich Pdf

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.

Author : Z. Horv th,L. Palla
Publisher : World Scientific
Page : 471 pages
File Size : 49,8 Mb
Release : 2001
Category : Science
ISBN : 9789810246495

Get Book

Non-perturbative QFT Methods and Their Applications by Z. Horv th,L. Palla Pdf

http://www.worldscientific.com/worldscibooks/10.1142/4727

Author : Zalan Horvath,Laszlo Palla
Publisher : World Scientific
Page : 471 pages
File Size : 44,5 Mb
Release : 2001-05-18
Category : Science
ISBN : 9789814490832

Get Book

Non-perturbative Qft Methods And Their Applications, Procs Of The Johns Hopkins Workshop On Current Problems In Particle Theory 24 by Zalan Horvath,Laszlo Palla Pdf

Contents:Conformal Boundary Conditions — and What They Teach Us (V B Petkova & J-B Zuber)A Physical Basis for the Entropy of the AdS3 Black Hole (S Fernando & F Mansouri)Spinon Formulation of the Kondo Problem (A Klümper & J R Reyes-Martinez)Boundary Integrable Quantum Field Theories (P Dorey)Finite Size Effects in Integrable Quantum Field Theories (F Ravanini)Nonperturbative Analysis of the Two-Frequency Sine-Gordon Model (Z Bajnok et al.)Screening in Hot SU(2) Gauge Theory and Propagators in 3D Adjoint Higgs Model (A Cucchieri et al.)Effective Average Action in Statistical Physics and Quantum Field Theory (Ch Wetterich)Phase Transitions in Non-Hermitean Matrix Models and the “Single Ring” Theorem (J Feinberg et al.)Unraveling the Mystery of Flavor (A Falk)The Nahm Transformation on R2 X T2 (C Ford)A 2D Integrable Axion Model and Target Space Duality (P Forgács)Supersymmetric Ward Identities and Chiral Symmetry Breaking in SUSY QED (M L Walker)and other papers Readership: Theoretical, mathematical and high energy physicists. Keywords:

Author : Z. Horv th,L. Palla
Publisher : World Scientific
Page : 474 pages
File Size : 44,8 Mb
Release : 2001
Category : Science
ISBN : 9812799966

Get Book

Nonperturbative Quantum-field-theoretic Methods and Their Applications by Z. Horv th,L. Palla Pdf

Contents: Conformal Boundary Conditions OCo and What They Teach Us (V B Petkova & J-B Zuber); A Physical Basis for the Entropy of the AdS 3 Black Hole (S Fernando & F Mansouri); Spinon Formulation of the Kondo Problem (A Klmper & J R Reyes-Martinez); Boundary Integrable Quantum Field Theories (P Dorey); Finite Size Effects in Integrable Quantum Field Theories (F Ravanini); Nonperturbative Analysis of the Two-Frequency Sine-Gordon Model (Z Bajnok et al.); Screening in Hot SU(2) Gauge Theory and Propagators in 3D Adjoint Higgs Model (A Cucchieri et al.); Effective Average Action in Statistical Physics and Quantum Field Theory (Ch Wetterich); Phase Transitions in Non-Hermitean Matrix Models and the OC Single RingOCO Theorem (J Feinberg et al.); Unraveling the Mystery of Flavor (A Falk); The Nahm Transformation on R 2 X T 2 (C Ford); A 2D Integrable Axion Model and Target Space Duality (P Forgics); Supersymmetric Ward Identities and Chiral Symmetry Breaking in SUSY QED (M L Walker); and other papers. Readership: Theoretical, mathematical and high energy physicists."

Author : Yitzhak Frishman,Jacob Sonnenschein
Publisher : Cambridge University Press
Page : 455 pages
File Size : 44,8 Mb
Release : 2010-04-08
Category : Science
ISBN : 9781139486484

Get Book

Non-Perturbative Field Theory by Yitzhak Frishman,Jacob Sonnenschein Pdf

Providing a new perspective on quantum field theory, this book is useful for graduate students and researchers within and outside the field. It describes non-perturbative methods, and explores two-dimensional and four-dimensional gauge dynamics using those methods. Applications are thoroughly described.

Author : G. Hooft,A. Jaffe,G. Mack,P.K. Mitter,R. Stora
Publisher : Springer Science & Business Media
Page : 603 pages
File Size : 47,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461307297

Get Book

Nonperturbative Quantum Field Theory by G. Hooft,A. Jaffe,G. Mack,P.K. Mitter,R. Stora Pdf

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.

Author : E Abdalla,M B Abdalla,D Rothe
Publisher : World Scientific
Page : 748 pages
File Size : 51,7 Mb
Release : 1991-08-12
Category : Science
ISBN : 9789814506519

Get Book

Non-Perturbative Methods in Two-Dimensional Quantum Field Theory by E Abdalla,M B Abdalla,D Rothe Pdf

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. Contents:Free FieldsThe Thirring ModelFunctional DeterminantsFermionic Models with Self-InteractionNonlinear Sigma Models — Classical AspectsNonlinear Sigma Models — Quantum AspectsExact S-Matrices of Two-Dimensional ModelsThe Wess-Zumino-Witten TheoryElectrodynamics: Operator ApproachQuantum ChromodynamicsQuantum Electrodynamics: Functional ApproachNon-Abelian Chiral Gauge TheoriesChiral Quantum ElectrodynamicsConformally Invariant Field Theory in Two Dimensions Readership: High energy physicists. keywords:Bosonization;Solitons;Instantons;Functional Determinants;Cosets;Ising Model;Kac Moody Algebras;Finite Temperature;Spontaneous Symmetry Breaking;Conformal “The authors have made a great effort to present in a careful and systematic way such a complete treatise for the benefit of non-specialists. This book is thus of great value to students and research physicists interested in two-dimensional quantum field theory. Numerous (15) useful appendices help the reader to understand and rederive the results at will, making the book self-contained.” Jean-Pierre Ader Mathematical Reviews

Author : Ilya Feranchuk,Alexey Ivanov,Van-Hoang Le,Alexander Ulyanenkov
Publisher : Springer
Page : 362 pages
File Size : 40,8 Mb
Release : 2014-12-18
Category : Science
ISBN : 9783319130064

Get Book

Non-perturbative Description of Quantum Systems by Ilya Feranchuk,Alexey Ivanov,Van-Hoang Le,Alexander Ulyanenkov Pdf

This book introduces systematically the operator method for the solution of the Schrödinger equation. This method permits to describe the states of quantum systems in the entire range of parameters of Hamiltonian with a predefined accuracy. The operator method is unique compared with other non-perturbative methods due to its ability to deliver in zeroth approximation the uniformly suitable estimate for both ground and excited states of quantum system. The method has been generalized for the application to quantum statistics and quantum field theory. In this book, the numerous applications of operator method for various physical systems are demonstrated. Simple models are used to illustrate the basic principles of the method which are further used for the solution of complex problems of quantum theory for many-particle systems. The results obtained are supplemented by numerical calculations, presented as tables and figures.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 50,5 Mb
Release : 2015
Category : Instantons
ISBN : 1107672325

Get Book

Instantons and Large N by Anonim Pdf

Author : Jürg Fröhlich
Publisher : World Scientific Publishing Company Incorporated
Page : 841 pages
File Size : 50,7 Mb
Release : 1992
Category : Science
ISBN : 9810204329

Get Book

Non-perturbative Quantum Field Theory by Jürg Fröhlich Pdf

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.

Author : Elcio Abdalla,M. Cristina B. Abdalla
Publisher : World Scientific
Page : 834 pages
File Size : 43,9 Mb
Release : 2001
Category : Science
ISBN : 9789812810151

Get Book

Non-perturbative Methods in 2 Dimensional Quantum Field Theory by Elcio Abdalla,M. Cristina B. Abdalla Pdf

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."

Author : Elcio Abdalla,Maria Cristina Batoni Abdalla,Klaus Dieter Rothe
Publisher : World Scientific
Page : 836 pages
File Size : 43,9 Mb
Release : 2001-07-31
Category : Science
ISBN : 9789814491228

Get Book

Non-Perturbative Methods in 2 Dimensional Quantum Field Theory by Elcio Abdalla,Maria Cristina Batoni Abdalla,Klaus Dieter Rothe Pdf

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 FieldsThe Thirring ModelDeterminants and Heat KernelsSelf-Interacting Fermionic ModelsNonlinear σ Models: Classical AspectsNonlinear σ Models — Quantum AspectsExact S-Matrices of 2D ModelsThe Wess-Zumino-Witten TheoryQED2: Operator ApproachQuantum ChromodynamicsQED2: Functional ApproachThe Finite Temperature Schwinger ModelNon-Abelian Chiral Gauge TheoriesChiral Quantum ElectrodynamicsConformally Invariant Field TheoryConformal Field Theory with Internal Symmetry2D Gravity and String-Related Topics Readership: Graduate students and researchers in high energy and quantum physics. Keywords:Reviews:“… there are carefully written chapters on the Thirring, Gross-Neveu, and nonlinear Sigma models, as well as the sine-Gordon and Wess-Zumino-Witten theory … In particular, the last three chapters might be of interest to those who work in string theory, in view of the recently discovered AdS/CFT correspondence.”Mathematics Abstracts

Author : Andreas W Schreiber,Anthony Gordon Williams,Anthony W Thomas
Publisher : World Scientific
Page : 348 pages
File Size : 49,9 Mb
Release : 1999-01-15
Category : Electronic
ISBN : 9789814544252

Get Book

Nonperturbative Methods In Quantum Field Theory - Proceedings Of The Workshop by Andreas W Schreiber,Anthony Gordon Williams,Anthony W Thomas Pdf

This book contains the proceedings of the Workshop on Nonperturbative Methods in Quantum Field Theory, held in Adelaide, Australia, in February 1998. Lattice gauge theory and calculations based on the use of Schwinger-Dyson equations feature prominently, with further contributions in the areas of variational and functional techniques, strong interaction phenomenology and chiral perturbation theory. QCD in the infrared regime as well as QCD at finite temperatures and densities is the subject matter of a number of papers, while other authors explore chiral symmetry breaking in QCD as well as in other field theories.

Author : T. Borne,G. Lochak,H. Stumpf
Publisher : Springer Science & Business Media
Page : 327 pages
File Size : 42,7 Mb
Release : 2006-04-11
Category : Science
ISBN : 9780306471315

Get Book

Nonperturbative Quantum Field Theory and the Structure of Matter by T. Borne,G. Lochak,H. Stumpf Pdf

"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.

Author : Ignazio Ciufolini,Daniele Dominici,Luca Lusanna
Publisher : World Scientific
Page : 524 pages
File Size : 47,9 Mb
Release : 2003-01-16
Category : Science
ISBN : 9789814487986

Get Book

2001: A Relativistic Spacetime Odyssey by Ignazio Ciufolini,Daniele Dominici,Luca Lusanna Pdf

This volume offers a comprehensive overview of our understanding of gravity at both the experimental and the theoretical level. Critical reviews by experts cover topics ranging from astrophysics (anisotropies in the cosmic microwave background, gamma ray bursts, neutron stars and astroparticles), cosmology, the status of gravitational wave sources and detectors, verification of Newton's law at short distances, the equivalence principle, gravito-magnetism, measurement theory, time machines and the foundations of Einstein's theory, to string theory and loop quantum gravity. Contents:Foundations and Classical General Relativity:Space–Time, General Covariance, Dirac–Bergmann Observables and Non-Inertial Frames (L Lusanna)Physics in the Presence of a Time Machine (I D Novikov)Frame-Dragging and Gravitomagnetism: Theory and Experiment (I Ciufolini)New Tests of the Strong Equivalence Principle and of the Inverse Square Law (E G Adelberger)Cosmology:The Inflationary Universe (A Riotto)Imaging the Early Universe with the BOOMERANG Experiment (P De Bernardis et al.)Gravitational Waves:Gravitational Radiation: A Tool for Testing General Relativity (C M Will)What Gravitational Signals Say about the Structure and the Evolution of Astrophysical Sources (V Ferrari)Astrophysics:Computational Relativity: Collisions of Black Holes (R Matzner)Gamma Ray Bursts: Some Facts and Ideas (G Ghisellini)Quantum Gravity:Spin Foams as Feynman Diagrams (M Reisenberger & C Rovelli)Physics with Large Extra Dimensions (I Antoniadis)Field Theories on Canonical and Lie-Algebra Noncommutative Spacetimes (G Amelino-Camelia et al.)and other papers Readership: Quantum, astro-, high-energy and theoretical physicists. Keywords: