Probing for instanton constituents with ɛcooling
Abstract
We use ɛcooling, adjusting at will the order a^{2} corrections to the lattice action, to study the parameter space of instantons in the background of nontrivial 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, zerotemperature configurations were generated from those at finite temperature with wellseparated 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 zeromodes are used to analyze 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 zeromode studies for thermalized ensembles at small temperatures.
 Publication:

Physical Review D
 Pub Date:
 November 2004
 DOI:
 10.1103/PhysRevD.70.105013
 arXiv:
 arXiv:heplat/0408004
 Bibcode:
 2004PhRvD..70j5013B
 Keywords:

 11.10.Wx;
 11.15.Ha;
 12.38.Lg;
 14.80.Hv;
 Finitetemperature field theory;
 Lattice gauge theory;
 Other nonperturbative calculations;
 Magnetic monopoles;
 High Energy Physics  Lattice;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 26 pages, 14 figures in 33 parts