Confinement, Topology, and Other Non-Perturbative Aspects of QCD

Jeff Paul Greensite, Stefan Olejník

Springer Science & Business Media, Sep 30, 2002 - Science - 326 pages

The problem of quark confinement is one of the classic unsolved problems of particle physics and is fundamental to our understanding of the physics of the strong interaction and the behaviour of non-Abelian gauge theories in general. The confinement problem is also are area in which concepts from topology and techniques of computational physics both find important applications. This volume contains a snapshot of current research in this field as of January 2002. Particular emphasis is placed on the role of topological field configurations such as centre vortices and monopoles in proposed confinement mechanisms. Other topics covered include colour superconductivity, instantons and chiral symmetry breaking, matrix models and the construction of chiral gauge theories.

Readership: Research scientists and graduate students of high energy physics and nuclear physics.

Contents

• CHIRAL ZEROMODE FOR ABELIAN EPS DIPOLES: 1
• DUAL SUPERCONDUCTIVITY EFFECTIVE STRING THEORY AND REGGE TRAJECTORIES: 11
• ANALYTICAL STUDY OF LOW TEMPERATURE PHASE OF 3D LGT IN THE PLAQUETTE FORMULATION: 33
• MONOPOLES FROM INSTANTONS: 41
• COLOR SUPERCONDUCTIVITY IN TWO AND THREEFLAVOR SYSTEMS AT MODERATE DENSITIES: 49
• LATTICE MONOPOLES IN HOT SU2 GLUODYNAMICS AS BLOCKED CONTINUUM DEFECTS: 61
• AN UPDATE: 69
• AN EFFECTIVE THEORY FOR THE SU2 MASS GAP?: 83
• MATRIX MODELS ON THE FUZZY SPHERE: 91
• SOME METHODS WITH APPLICATION TO THE GROSSNEVEU MODEL AND YANGMILLS THEORY: 97
• CENTER VORTEX MODEL FOR NONPERTURBATIVE STRONG INTERACTION PHYSICS: 105
• STATUS OF CENTER DOMINANCE IN VARIOUS CENTER GAUGES: 117
• SOLITONS AND SPONTANEOUS SYMMETRY BREAKING IN 2 AND 4 DIMENSIONS: 129
• 503 VERSUS SU2 LATTICE GAUGE THEORY: 137
• SU2 ABELIAN PROJECTED ACTION FOR RENORMALISATION GROUP FLOWS: 149
• CENTER VORTICES MAGNETIC CONDENSATE AND CONFINEMENT IN A SIMPLE GAUGE SYSTEM: 157
• LATTICE CHIRAL GAUGE THEORIES THROUGH GAUGE FIXING: 165
• SPECTRA OF LATTICE DIRAC OPERATORS IN NONTRIVIAL TOPOLOGY BACKGROUNDS: 177
• THE GLUON CHAIN MODEL REVISITED: 185
• CONNECTIONS BETWEEN THIN THICK AND PROJECTION VORTICES IN SU2 LATTICE GAUGE THEORY: 197
• CHARGES MONOPOLES AND GAUGE INVARIANCE: 205
• LOWLYING DIRAC EIGENMODES TOPOLOGICAL CHARGE FLUCTUATIONS AND THE INSTANTON LIQUID MODEL: 213
• ANISOTROPIC QCD SUPERFLUIDS: 225
• TOWARDS THE TOPOLOGICAL SUSCEPTIBILITY WITH OVERLAP FERMIONS: 233
• VORTEX WAISTLINES: 241
• VORTEX INDUCED CONFINEMENT AND THE KUGOOJIMA CONFINEMENT CRITERION: 253
• MONOPOLES AND LYAPUNOV EXPONENTS IN Ul LATTICE GAUGE THEORY: 261
• MASSIVE LIGHT FRONT QED1+1 IN THE WEYL GAUGE: 269
• TOPOLOGY OF CENTER VORTICES: 277
• ELECTRIC FLUX SECTORS AND CONFINEMENT: 287
• SIMPLE AND GENERALIZED MAXIMAL ABELIAN GAUGE: 295
• SUPERSYMMETRIC YANGMILLS QUANTUM MECHANICS: 303
• SCALARPARTICLE PROJECTION OF GLUODYNAMICS: 315
• List of Participants: 323

Bibliographic information

• Title: Confinement, Topology, and Other Non-Perturbative Aspects of QCD; Volume 83 of Nato Science Series II:
• Editors: Jeff Paul Greensite, Stefan Olejník
• Edition: illustrated
• Publisher: Springer Science & Business Media, 2002
• ISBN: 1402008732, 9781402008733
• Length: 326 pages
• Subjects: Mathematics / Geometry / General; Science / Physics / Atomic & Molecular; Science / Physics / Mathematical & Computational; Science / Physics / Nuclear; Science / Physics / Quantum Theory