Recent Advances in Field Theory

Proceedings of the Fourth Annecy Meeting on Theoretical Physics, Annecy-le-Vieux, France, 5–9 March 1990

P. Binétruy, G. Girardi, P. Sorba

• Publisher: North Holland
• Year: 2016
• Print ISBN:
  9781483228877
• eBook ISBN:
  9781483257327
• Topic: Physical Sciences
• Subtopic: Quantum Theory

Recent Advances in Field Theory presents the proceedings of the Fourth Annecy Meeting on Theoretical Physics, held in Annecy-le-Vieux, France, on March 5–9, 1990. This book presents several relevant developments on the subject, including quantum algebra, two-dimensional quantum gravity, and topological quantum theories. Organized into 29 chapters, this book begins with an overview of the Hamiltonian quantization of the topological Chern–Simons theory. This text then examines the conformal affine Liouville model. Other chapters consider the global analyticity properties of functions correlated with causal kernels on de Sitter space. This book discusses as well the three particle models in terms of noncommutative gauge theory, namely, the Peccei-Quinn model, the Glashow–Weinberg–Salam model, and the standard model. The final chapter deals with the development on the construction of lattice integrable models corresponding to the SU (N) coset conformal field theories. This book is a valuable resource for physicists and scientists.

Table of contents

• Front Cover
• Recent Advances in Field Theory
• Copyright Page
• Table of Contens
• PREFACE
• CHAPTER 1. REMARKS ON TOPOLOGICAL CHERN-SIMONS THEORY
• CHAPTER 2. Integrability and Conformai Invariance
• CHAPTER 3. CHERN-SIMONS MODEL IN THE LANDAU GAUGE AND ITS CONNECTION TO THE KAC-MOODY ALGEBRA
• CHAPTER 4. COMPLEXIFIED DE SITTER SPACE: ANALYTIC CAUSAL KERNELS AND KÄLLEN-LEHMANNTYPE REPRESENTATION
• CHAPTER 5. PARTICLE MODELS AND NONCOMMUTATIVE GEOMETRY
• CHAPTER 6. LIE BALLS AND RELATIVISTIC QUANTUM FIELDS
• CHAPTER 7. STRONG COUPLING LIMIT OF CHERN SIMONS THE ORIES ON THE 3 SPHERE
• CHAPTER 8. QUASI HOPF ALGEBRAS, GROUP COHOMOLOGY AND ORBIFOLD MODELS
• CHAPTER 9. LOCAL OBSERVABLES, GAUGE SYMMETRIES AND BROKEN SYMMETRIES
• CHAPTER 10. GEOMETRY OF WESS-ZUMINO-WITTEN MODELS OF CONFORMAL FIELD THEORY
• CHAPTER 11. UNITARY TRUNCATION THEOREM FOR 2D GRAVITY WITH CENTRAL CHARGES 7, 13, and 19
• CHAPTER 12. INTEGRABILITY AND QUANTUM SYMMETRIES
• CHAPTER 13. GEOMETRY OF SUPERGRAVITY-MATTER COUPLING
• CHAPTER 14. LINK INVARIANTS FROM CHERN-SIMONS THEORY
• CHAPTER 15. Thoughts on the Synthesis of Quantum Physics and General Relativity and the Rôle of Space-Time
• CHAPTER 16. EXTENDED CHIRAL CONFORMAL THEORIES WITH A QUANTUM SYMMETRY
• CHAPTER 17. COMBINATORICS OF MAPPING CLASS GROUPS AND MATRIX INTEGRATION
• CHAPTER 18. NEW COVARIANTLY QUANTIZABLE ACTION FOR SUPERPARTICLE
• CHAPTER 19. EQUIVARIANT CALCULUS IN THE DIFFERENTIAL ENVELOPE
• CHAPTER 20. REVISITING THE MACKEY-STONE-VON NEUMANN THEOREM. THE C*-ALGEBRA OF A PRESYMPLECTIC SPACE
• CHAPTER 21. INTEGRABLE SYSTEMS AND GAUGE THEORIES
• CHAPTER 22. VARIATIONAL IMPROVEMENT OF PERTURBATION THEORY AND/OR PERTURBATIVE IMPROVEMENT OF VARIATIONAL CALCULATIONS
• CHAPTER 23. ANYON MODEL, AXIAL ANOMALY and PLANAR BROWNIAN WINDING Stéphane OUVRY
• CHAPTER 24. Markov Traces as Characters for Local Algebras
• CHAPTER 25. KOSZUL RESOLUTIONS AND QUANTUM GROUPS
• CHAPTER 26. The Algebraic Versus Geometric Approach To Quantum Field Theory
• CHAPTER 27. Quantum and Non-Quantum Anomalies in General Relativity
• CHAPTER 28. COVARIANT DIFFERENTIAL CALCULUS ON THE QUANTUM HYPERPLANE
• CHAPTER 29. GRAPHS, ALGEBRAS, CONFORMAL FIELD THEORIES AND INTEGRAB LELATTICE MODELS
• LIST OF PARTICIPANTS
• AUTHOR INDEX
• GENERAL INFORMATION