Quantum Fields on the Computer

By: Michael Creutz (Editor)

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Paperback | 1 September 1992

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446 Pages

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22.86 x 15.24 x 2.29

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This book provides an overview of recent progress in computer simulations of non-perturbative phenomena in quantum field theory, particularly in the context of the lattice approach. It is a collection of extensive self-contained reviews of various subtopics, including algorithms, spectroscopy, finite temperature physics, Yukawa and chiral theories, bounds on the Higgs meson mass, the renormalization group, and weak decays of hadrons. Physicists with some knowledge of lattice gauge ideas should find this book a useful and interesting source of information on the recent developments in the field.

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Introduction
Techniques and Results for Lattice QCD Spectroscopy	p. 1
Basics of Lattice Spectroscopy	p. 4
More Complicated Issues	p. 22
Recent Results - Glueballs	p. 34
Recent Results - Mesons and Baryons	p. 35
Prospects	p. 44
Lattice Field Theories at High Temperatures and Densities	p. 51
Formalism	p. 54
Calculational Techniques	p. 70
Phase Diagram of Quantum Chromodynamics	p. 81
Thermodynamics of Quantum Chromodynamics	p. 97
Nonzero Baryon Density	p. 106
Higgs and Related Models at Finite Temperature	p. 111
Upper Bound on the Higgs Mass	p. 125
The Model; Definitions and General Considerations	p. 127
Nonperturbative Studies of the O(4) Model; Analytical Calculations	p. 131
Nonperturbative Studies of the O(4) Model; Monte Carlo Calculations	p. 135
Finite Cutoff Effects on Physical Amplitudes	p. 143
Universality	p. 145
Lattice Yukawa Models	p. 150
Nonperturbative Definitions of Renormalized Coupling Constants	p. 158
Study of a Lattice Yukawa Model with a Real Scalar Field	p. 162
Universality and the Study of Different Lattice Formulations of a Yukawa Model with a Real Scalar Field	p. 180
Yukawa Models with Continuous Global Symmetry Groups	p. 189
Lattice Yukawa Models with Gauge Fields	p. 190
Chiral Gauge Theories and Their Global Limits	p. 195
Bosonic Algorithms	p. 211
Dynamic Monte Carlo Methods: Fundamental Principles	p. 212
Statistical Analysis of Dynamic Monte Carlo Data	p. 221
Local Algorithms	p. 227
Collective-Mode Algorithms	p. 238
Some Open Problems	p. 265
Algorithms for Simulating Fermions	p. 275
Anticommuting Variables	p. 276
Exact Local Algorithms	p. 278
Pseudofermions	p. 282
Langevin, Microcanonical, and Hybrid Schemes	p. 284
A Langevin-Pseudofermion Hybrid	p. 288
Exact Global Algorithms	p. 292
Higher Order Schemes	p. 299
Scaling, the Renormalization Group and Improved Lattice Actions	p. 304
Wilson's Formulation of the Renormalization Group	p. 307
Asymptotic Freedom Simplifies QCD	p. 315
Nonperturbative [beta]-Function and Scaling	p. 322
Block Transformations for 4-d SU(N) LGT	p. 325
Scaling of Monte Carlo Data and [Delta][beta]	p. 330
Corrections to Scaling in Matrix Elements	p. 342
Improving the Gauge Action	p. 345
Improving the Dirac Action	p. 348
Improving the Operators	p. 354
Lattice Approach to Electroweak Matrix Elements	p. 362
Introduction: Where Do We Stand?	p. 362
Motivations: Why the Hoopla?	p. 364
Theoretical Ingredients	p. 365
Implications of Discrete Symmetries	p. 370
Brief Remarks on Staggered Fermions	p. 375
Kaon Physics	p. 377
Form Factors	p. 391
D[actual symbol not reproducible]K+[pi]	p. 396
B-Physics on the Lattice	p. 406
The Effects of Quenching	p. 419
Table of Contents provided by Blackwell. All Rights Reserved.

Quantum Fields on the Computer

At a Glance

Paperback

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