Fields and Particles : Proceedings of the XXIX Int. Universitätswochen Für Kernphysik, Schladming, Austria, March 1990

This volume contains the written versions of invited lectures presented at the 29th "Internationale Universitatswochen fiir Kernphysik" in Schladming, Aus­ tria, in March 1990. The generous support of our sponsors, the Austrian Ministry of Science and Research, the Government of Styria, and others, made it possible to invite expert lecturers. In choosing the topics of the course we have tried to select some of the currently most fiercely debated aspects of quantum field theory. It is a pleasure for us to thank all the speakers for their excellent presentations and their efforts in preparing the lecture notes. After the school the lecture notes were revised by the authors and partly rewritten ~n '!EX. We are also indebted to Mrs. Neuhold for the careful typing of those notes which we did not receive in '!EX. Graz, Austria H. Mitter July 1990 W. Schweiger Contents An Introduction to Integrable Models and Conformal Field Theory By H. Grosse (With 6 Figures) .... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 1 1. Introduction ............................................. . 1 1.1 Continuous Integrable Models .......................... . 1 1.2 "Solvable" Models of Statistical Physics ................. . 2 1.3 The Yang-Baxter Relation ............................. . 3 1.4 Braids and I(nots .................................... . 3 1.5 Confonnal Field Theory d = 2 ......................... . 3 2. Integrable Continuum Models - The Inverse Scattering Method - Solitons .................... . 4 2.1 A General Scheme for Solving (Linear) Problems ......... . 4 2.2 The Direct Step ...................................... . 6 2.3 The Inverse Step ..................................... . Front Matter....Pages I-XI An Introduction to Integrable Models and Conformal Field Theory....Pages 1-30 An Introduction to the Renormalization of Theories with Continuous Symmetries, to the Chiral Models and to Their Anomalies....Pages 31-52 Quantum Field Theory in Low Dimensional Space Time....Pages 53-87 From Integrable Models to Quantum Groups....Pages 89-115 Topics in Planar Physics....Pages 117-169 Boundary Terms, Long Range Effects, and Chiral Symmetry Breaking....Pages 171-214 Two-Dimensional Nonlinear Sigma Models: Orthodoxy and Heresy....Pages 215-230 Gauge-Independence of Anomalies....Pages 231-254 LEP: The First Hundred Days....Pages 255-277 QCD and Nuclear Structure....Pages 279-285