Searching for KvBLL calorons in SU(3) lattice gauge field ensembles
Christof Gattringer, Ernst-Michael Ilgenfritz, Boris V. Martemyanov, Michael Müller-Preussker, Dirk Peschka, Rainer Pullirsch, Stefan Schaefer, Andreas Schäfer
Abstract
We discuss Kraan - van Baal - Lee - Lu (KvBLL) solutions of the classical Yang-Mills equations with temperature in the context of SU(3) lattice gauge theory. We present discretized lattice versions of KvBLL solutions and other dyonic structures, obtained by cooling in order to understand their variety and signature. An analysis of the zero modes of the lattice Dirac operator for different fermionic boundary conditions gives clear evidence for a KvBLL-like background of finite T lattice subensembles with Q = +/-1. Using APE-smearing we are able to study the topological charge density q(x) of the configurations and to corroborate this interpretation.
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