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Physical Review D

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Monopole content of topological clusters: Have Kraan-van Baal calorons been found?

E.-M. Ilgenfritz¹, B. V. Martemyanov², M. Müller-Preussker¹, and A. I. Veselov²

¹Institut für Physik, Humboldt-Universität zu Berlin, Newtonstrasse 15, D-12489 Berlin, Germany
²Institute for Theoretical and Experimental Physics, Bolshaya Cheremushkinskaya 25, Moscow 117259, Russia

Phys. Rev. D 71, 034505 – Published 14 February, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.034505

Abstract

Using smearing of equilibrium lattice fields generated at finite temperature in the confined phase of $S U (2)$ lattice gauge theory, we have investigated the emerging topological objects (clusters of topological charge). Analyzing their monopole content according to the Polyakov gauge and the maximally Abelian gauge, we characterize part of them to correspond to nonstatic calorons or static dyons in the context of Kraan-van Baal caloron solutions with nontrivial holonomy. The behavior of the Polyakov loop inside these clusters and the (model-dependent) topological charges of these objects support this interpretation.

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