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

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Jeff Paul Greensite, Stefan Olejník
Springer Science & Business Media, Sep 30, 2002 - Mathematics - 326 pages
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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.

  

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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
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

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
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
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