Structural Elements in Particle Physics and Statistical Mechanics

✍ Scribed by H. Eugene Stanley (auth.), J. Honerkamp, K. Pohlmeyer, H. Römer (eds.)

• Publisher: Springer US
• Year: 1983
• Tongue: English
• Leaves: 377
• Series: NATO Advanced Study Institutes Series 82
• Edition: 1
• Category: Library

✦ Synopsis

The NATO ADVANCED SUMMER INSTITUTE ON THEORETICAL PHYSICS 1981 st was held in Freiburg, Germany from August 31 until September 11th 1981. It was the twelfth in a series of Summer Institutes organized by German Universities. Its main objective was a thorough comparison of structures and methods of two different branches of Theoretical Physics, name­ ly Elementary Particle Physics and Statistical Mechanics, and the idea was to exhibit the structural similarities, to trace them until their origins, to compare solution and approximation schemes and to report on those new results and methods in either of the two branches which are indicative of an intimate connection between them. Thus stimulation of a deeper understanding and development of new Methods could be hoped for in both fields. The contributions to the Summer Institute - lectures and seminars - are contained in this volume. One group of them gives concise up-to-date information on basic topics in Statistical Mechanics and Phase Transitions, Dynamical Systems, Solvable Lattice Models and Lattice Gauge The­ ories. A second group is devoted to special topics which illustrate the interrelationship between Statistical Mechanics and Elementary Particle Physics, like topological quantum numbers on a lattice, model studies on the confinement problem, etc. Supplementary information on experimental implications and on neighbouring fields is provided in a third group.

✦ Table of Contents

Front Matter....Pages i-ix
Connectivity: A Primer in Phase Transitions and Critical Phenomena for Students of Particle Physics....Pages 1-42
Algebraic Aspects of Exact Models....Pages 43-60
Elementary Methods for Statistical Systems, Mean Field, Large n, and Duality....Pages 61-92
Quantum Scattering Transformation....Pages 93-114
Phases in Gauge Theories....Pages 115-139
Unification of Gauge and Gravity Interactions from Compositeness....Pages 141-158
Strong CP Violation and Axions....Pages 159-170
Non-Linear Mechanics of a String in a Viscous Noisy Environment....Pages 171-178
Some New Integrable Models in Field Theory and Statistical Mechanics....Pages 179-189
Calculating the Large N Phase Transition in Lattice Gauge Theories....Pages 191-199
Excitation Spectrum of Ferromagnetic xxz-Chains....Pages 201-212
Computer Simulations of a Discontinuous Phase Transition and Percolation Clusters in the Two-Dimensional One-Spin-Flip Ising Model....Pages 213-215
Polyacetylene: A Real Material Linking Condensed Matter and Field Theory....Pages 217-228
The Hidden Fermions in Z(2) Theories....Pages 229-239
Remarks on Alternative Lattice Actions and Phase Structure of Lattice Models....Pages 241-248
Finite-Size Scaling Theory....Pages 249-258
Anderson Transition and Nonlinear σ-Models....Pages 259-260
Functional Integration for Kinks and Disorder Variables....Pages 261-271
Continuum (Scaling) Limits of Lattice Field Theories (Triviality of $$ \lambda \phi ^4 $$ in $$ d\mathop { > 4}\limits_{\left( = \right)} $$ Dimensions)....Pages 273-286
Schrödinger Representation in Renormalizable Quantum Field Theory....Pages 287-299
All Self-Dual Multimonopoles for Arbitrary Gauge Groups....Pages 301-310
Renormalization Group Aspects of 3-Dimensional Pure U(1) Lattice Gauge Theory....Pages 311-315
Mass Splitting of the Pseudoscalar Mesons by Monte Carlo Technique....Pages 317-326
Radiative Symmetry Breaking in Grand Unified Theories....Pages 327-337
Ground State Metamorphosis for Yang-Mills Fields on a Finite Periodic Lattice....Pages 339-358
Lattice Fermions and Monte Carlo Simulations....Pages 359-367
Back Matter....Pages 369-378

✦ Subjects

Physics, general