Nonperturbative quantum-field-theoretic methods and their applications : proceedings of the 24th Johns Hopkins Workshop, Bolyai College, Budapest, Hungary, 19-21 August 2000

This book gives a comprehensive account of local quantum physics, understood as the synthesis of quantum theory with the principle of locality. Centered on the algebraic approach it describes both the physical concepts and the mathematical structures, and their consequences. These include the emergence of the particle picture, general collision theory covering the cases of massless particles and infraparticles, the analysis of possible charge structures and exchange symmetries, including braid group statistics. Thermal states of an unbounded medium and local equilibrium are discussed in detail. The author takes care both to describe the ideas and to give a critical assessment of future perspectives. The new edition contains numerous improvements and a new chapter concerning formalism and interpretation of quantum theory

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.
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 papersReadership: Theoretical, mathematical and high energy physicists.Key Features:The only book that showcases state-of-the-art evaporative self-assembly technique both experimentally and theoreticallyUnique treatment of certain topics in evaporative self-assemblyWritten by leading experts in each area Nonperturbative Analysis of the Two-Frequency sine-Gordon Model1 Introduction; 2 Generalities; 3 Truncated Conformal Space Approach; 4 Form factor perturbation theory; 5 Phase transition in DSG2; 6 The spectrum at the transition; 7 Conclusions; References; The Non-Abelian Sigma Model with a Discrete Non-Abelian Symmetry Group; 1 Introduction; 2 The finite-size scaling function; 3 The renormalized zero momentum 4-point coupling gR; 4 The renormalized coupling in a finite volume; 5 On the cut-off effects; References; Four-Dimensional Lattice Results on the MSSM Electroweak Phase Transition 6 Applications to string compactifications7 Conclusions; References; Boundary Renormalisation Group Flows of Minimal Models; 1 The unitary minimal models; 2 Boundary perturbations; 3 Perturbation theory; 4 The Truncated Conformal Space Approach; 5 The limit c -> 1 of the minimal model boundary conditions; 6 Conclusions; References; A Physical Basis for the Entropy of the AdS3 Black Hole; 1 Introduction; 2 Chern-Simons Action and Boundary Effects; 3 The Coupling of a source; 4 Ground State Eigenvalues; 5 The Entropy of the AdS3 Black Hole; Spinon Formulation of the Kondo Problem Foreword; CONTENTS; Conformal Boundary Conditions - and What They Teach Us; 0. Introduction; 1. A lightning review of CFT; 2. Boundary Conformal Field Theory; 3. Boundary Operator Algebra; 4. Generalised twisted boundary conditions; 5. The underlying quantum algebra; 6. Integrable lattice models; References; Conformal Field Theory, Boundary Conditions and Applications to String Theory; 1 Introduction and Overview; 2 Two-dimensional manifolds; 3 Algebraic aspects of chiral CFT: Vertex operator algebras; 4 Geometric aspects of chiral CFT: Conformal blocks; 5 Full CFT Ordinary Differential Equations and Integrable Quantum Field TheoriesIntroduction; 1 Schrodinger equations; 2 Functional relations in integrable models; 3 The TQ/ODE connection; 4 Generalisations; 5 Duality; 6 Conclusions; References; Finite Size Effects in Integrable Quantum Field Theories; 1 Introduction; 2 Excursus on the Renormalization Group in 1+1 dimensions; 3 Conformal Field Theory; 4 Perturbed Conformal Field Theory; 5 Light-cone lattice regularization of Sine-Gordon theory; 6 Nonlinear Integral Equation from Bethe Ansatz; 7 Conclusions; References The twenty-fourth Johns Hopkins Workshop on Current Problems in Particle Theory was held in Budapest, Hungary on August 19-21, 2000. The most important problems covered are boundary conditions in conformal field theories and nonperturbative analysis of integrable and non-integrable quantum field theories. The other important area discussed in the talks are new developments in lattice quantum field theories. The final part of the volume covers other nonperturbative approaches: renormalization group methods, matrix models, duality and functional methods 1 Introduction2 Magnon formulation; 3 The spinon formulation; 4 Impurity behavior at low temperature; 5 Impurity behavior at high temperature; 6 Numerical solution; References; From Surface Roughening to QCD String Theory; 1 Introduction; 2 Lattice Study of QCD String Formation: Three Objectives; 3 The Excitation Spectrum of the Wilson Surface in QCD; 4 Surface Excitation Spectrum in Z(2) Spin and Gauge Models; 5 What Is the Continuum Limit of QCD String Theory?; Appendix; References; Boundary Integrable Quantum Field Theories; References 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 The study of boundary conditions in conformal field theories (CFT) and in the related integrable models has been experiencing a renewal of interest over the last three or four years.