Eight carefully written articles on the interactions between the ideas and concepts of particle physics and those of astrophysics make up this book. Two long introductory lectures give a survey of modern concepts in particle physics and in astrophysics and cosmology, stressing features of common interest. The other six contributions deal with the physics of supernova explosions, with black holes, with neutrino oscillations, with the importance of phase transitions for the large-scale structure of the Universe, and with the use of the ideas of quantum gravity for computer simulations. These rather detailed review articles will be of value for many years to come. The book is intended for graduate students and researchers both in particle physics and in astrophysics.

This volume contains the written versions of invited lectures and abstracts of seminars presented at the 26th "Universitatswochen fiir Kernphysik" (Uni versity nuclear physics weeks) in Schladming, Austria, in February 1987. Again the generous support of our sponsors, the Austrian Ministry of Sci ence and Research, the Styrian government and others, made it possible to invite expert lecturers. The meeting was organized in honour of Prof. Dr. th Walter Thirring in connection with his 60 birthday. In choosing the topics for the lectures we have tried to cover a good many of the areas in which mathematical physics has made significant progress in recent years. Both classical and quantum mechanical problems are considered as well as prob lems in statistical physics and quantum field theory. The common feature lies in the methods of mathematical physics that are used to understand the underlying structure and to proceed towards a rigorous solution. Thanks to the efforts of the speakers this spirit was maintained in all lectures. Due to space limitations only shortened versions of the many seminars presented in Schladming could be included. After the school the lecture notes were revised by the authors, whom we thank for their efforts, which made it possible to speed up publication. Thanks are also due to Mrs. Neuhold for the careful typing of the notes, and to Miss Koubek and Mr. Preitler for their help in proofreading."

th This volume contains the written versions of invited lectures presented at the 28 "Internationale Universitatswochen fUr Kernphysik" in Schladming, Austria in March 1989. The generous support of our sponsors, the Austrian Ministry of Science and Research, the Government of Styria, and others, made it again possible to invite expert lecturers. The courses were centered on elementary particle physics to be performed with large accelerators accessible in the immediate future, including some reports on the current situation. Thanks to the efforts of the speakers it was possible to obtain excellent surveys. After the School the lecture notes were revised and partially rewritten in TPC by the authors, whom we thank for their labour. Unfortunately the report on the situation at SLAC by M. Swartz could not be included. Thanks are also due to the publishers for their patience. Graz, Austria H. Latal December 1989 H. Mitter v Contents Phenomenology of and Beyond the Standard Electroweak Model By A. Bartl, H. Pietschmann, and H. Stremnitzer (With 6 Figures) 1 1. The Standard Model (H. Pietschmann) . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 2 Defining the Standard Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 3 Testing the Standard Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. 4 Predictions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1. 5 Open Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1. 6 Hypotheses. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1. 7 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2. Beyond the Standard Model: Supersymmetry (A. Bartl) . . . . . . . . . . . . 9 2. 1 Supersymmetric Extension of the Standard Model . . . . . . . . . . . . 10 2. 2 Production and Decay of Supersymmetric Particles . . . . . . . . . . . 17 3. Beyond the Standard Model: Composite Models (H.

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 ..................................... .

Twenty-five years of Schladming Winter School 1. The Start Twenty-five years ago P. Urban had the idea of organizing a winter school in the Austrian mountains. The very concept of a school was not new: to bring physicists together in an environment which differs totally from the daily world of institutes and laboratories, to contrast hard classroom work in lectures by distinguished speakers with a relaxed atmosphere, to provide opportunities for entering newly developing fields and exchanging ideas, all this had already resulted in a few summer schools in southern Europe and the US. The idea of combining physics with skiing rather than swimming was, however, new. After some sampling by a few younger members of Ur ban's group, Schladming was selected as an appropriate place. At that time skiing was not very much developed here; there were few lifts, but a road to Hochwurzen and a regular bus service opened at least one longer track. The first meeting took place in a classroom of the local school, w here some 40 participants were squeezed into benches designed for children. In the next year we moved into the dining hall of a small inn, which does not exist any more (an attempt to serve beer during the lectures was stopped by the orga nizing committee). Only in later years did we find a permanent home here in the Stadtsaal."