Probing for Instanton Quarks with epsilon-Cooling

Details Probing for Instanton Quarks with epsilon-Cooling Probing for Instanton Quarks with epsilon-Cooling

2004-08-04

arxiv.org/abs/hep-lat/0408004v1

Phys.Rev. D70 (2004) 105013

Physics

High Energy Physics

High Energy Physics - Lattice

26 pages, 14 figures in 33 parts

Scientific paper

10.1103/PhysRevD.70.105013

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.

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