Probing for Instanton Quarks with epsilon-Cooling

Abstract

We use epsilon-cooling, adjusting at will the order a^2 corrections to the lattice action, to study the parameter space of instantons in the background of non-trivial holonomy and to determine the presence and nature of constituents with fractional topological charge at finite and zero temperature for SU(2). As an additional tool, zero temperature configurations were generated from those at finite temperature with well-separated constituents. This is achieved by "adiabatically" adjusting the anisotropic coupling used to implement finite temperature on a symmetric lattice. The action and topological charge density, as well as the Polyakov loop and chiral zero-modes are used to analyse these configurations. We also show how cooling histories themselves can reveal the presence of constituents with fractional topological charge. We comment on the interpretation of recent fermion zero-mode studies for thermalized ensembles at small temperatures.

26 pages, 14 figures in 33 parts

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• Periodic Instantons with non-trivial Holonomy
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• Exact T-duality between Calorons and Taub-NUT spaces
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Cited by in corpus (24)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• Instanton constituents and fermionic zero modes in twisted CP(n) models
• Phase diagram of Yang-Mills theories in the presence of a theta term
• An SU(2) KvBLL caloron gas model and confinement
• Vacuum structure revealed by over-improved stout-link smearing compared with the overlap analysis for quenched QCD
• Chiral gauge dynamics and dynamical supersymmetry breaking
• The dyonic picture of topological objects in the deconfined phase
• On the spectrum of the Faddeev-Popov operator in topological background fields
• Laplacian modes probing gauge fields
• SU(N) caloron measure and its relation to instantons
• Topology across the finite temperature transition studied by overimproved cooling in gluodynamics and QCD
• Fractional instanton of the SU($3$) gauge theory in weak coupling regime
• The monopole content of topological clusters : have KvB calorons been found?
• Calorons and monopoles from smeared SU(2) lattice fields at non-zero temperature
• Calorons in SU(3) lattice gauge theory
• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• Topological objects in QCD
• Improved superposition schemes for approximate multi-caloron configurations
• Gluino zero-modes for non-trivial holonomy calorons
• Hedgehogs in Wilson loops and phase transition in SU(2) Yang-Mills theory
• A gauge-invariant object in non-Abelian gauge theory
• Dyons near the transition temperature in $SU(3)$ lattice gluodynamics
• On the zero of the fermion zero mode