On the stability of Dirac sheet configurations

Abstract

Using cooling for SU(2) lattice configurations, purely Abelian constant magnetic field configurations were left over after the annihilation of constituents that formed metastable Q=0 configurations. These so-called Dirac sheet configurations were found to be stable if emerging from the confined phase, close to the deconfinement phase transition, provided their Polyakov loop was sufficiently non-trivial. Here we show how this is related to the notion of marginal stability of the appropriate constant magnetic field configurations. We find a perfect agreement between the analytic prediction for the dependence of stability on the value of the Polyakov loop (the holonomy) in a finite volume and the numerical results studied on a finite lattice in the context of the Dirac sheet configurations.

References in corpus (9)

• Periodic Instantons with non-trivial Holonomy
• SU(2) Calorons and Magnetic Monopoles
• Exact T-duality between Calorons and Taub-NUT spaces
• Instantons from over-improved cooling
• Critical behaviour of SU(2) lattice gauge theory. A complete analysis with the ${\chi }^2$-method
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• Sphalerons and Other Saddles from Cooling
• On Dirac sheet configurations of SU(2) lattice fields
• Marginally stable solutions

Cited by in corpus (5)

• Higher charge calorons with non-trivial holonomy
• Probing for Instanton Quarks with epsilon-Cooling
• Calorons and monopoles from smeared SU(2) lattice fields at non-zero temperature
• Calorons with non-trivial holonomy on and off the lattice
• Cooling study of Dirac sheets in SU(3) lattice gauge theory below T_c