On Dirac sheet configurations of SU(2) lattice fields

Abstract

Finite temperature Euclidean SU(2) lattice gauge fields close to the deconfinement phase transition are subjected to cooling. We find relatively stable or absolutely stable configurations with an action below the one-instanton action $S_{inst}=2{\pi }^2$ both in the deconfinement and the confinement phases. In this paper we attempt an interpretation of these lowest action configurations. Their action is purely magnetic and amounts to $S/S_{inst}\approx N_t/N_s$, where $N_t$ ($N_s$) is the timelike (spacelike) lattice size, while the topological charge vanishes. In the confined phase part of the corresponding lattice configurations turns out to be absolutely stable with respect to the cooling process in which case Abelian projection reveals a homogeneous, purely Abelian magnetic field closed over the "boundary" in one of the spatial directions. Referring to the dyonic structure established for the confinement phase near $T_c$ and based on the observation made for this phase that such events below the instanton action $S_{inst}$ emerge from dyon-antidyon annihilation, the question of stability (metastability) is discussed for both phases. The hypothetically different dyonic structure of the deconfinement phase, inaccessible by cooling, could explain the metastability.

14 pages, 7 figures

References in corpus (6)

• Periodic Instantons with non-trivial Holonomy
• Exact T-duality between Calorons and Taub-NUT spaces
• On the topological content of SU(2) gauge fields below T_c
• SU(2) lattice gauge theory at non-zero temperature with fixed holonomy boundary condition
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Cited by in corpus (6)

• 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
• On the stability of Dirac sheet configurations
• Cooling study of Dirac sheets in SU(3) lattice gauge theory below T_c