Polyakov loop fluctuations in the presence of external fields

Abstract

We study the implications of the spontaneous and explicit Z(3) center symmetry breaking for the Polyakov loop susceptibilities. To this end, ratios of the susceptibilities of the real and imaginary parts, as well as of the modulus of the Polyakov loop are computed within an effective model using a color group integration scheme. We show that the essential features of the lattice QCD results of these ratios can be successfully captured by the effective approach. Furthermore we discuss a novel scaling relation in one of these ratios involving the explicit breaking field, volume, and temperature.

9 pages, 5 figures, submitted to PRD

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Cited by in corpus (3)

• Fluctuations of order parameter in an $SU(N_c)$ effective model
• Deconfinement in the presence of a strong magnetic field
• Building models of quarks and gluons with an arbitrary number of colors using Cartan-Polyakov loops