Finite Size Effects in the Free Energy Density for Abelian (Anti-)Self-Dual Gluon Field in SU(3) Gluodynamics

Nedelko, Sergei N.; Voronin, Vladimir E.

doi:10.1134/s1547477119060244

Cited by 3 publications

(1 citation statement)

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“…In the present paper the effective potential for the Abelian (anti-)self-dual field (1) in a four-dimensional spherical domain with radius R is calculated for SU (3) chromodynamics with N f massless quarks using the zeta function regularization, which completes the previously reported results for pure gluodynamics [29]. The quark and gluon fields are subject to the bag-like boundary conditions [13,21].…”

Section: Introductionsupporting

confidence: 76%

Energy-driven disorder in the mean field QCD

Nedelko,

Voronin

2020

Preprint

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An impact of the finite size effects on the vacuum free energy density of full QCD with N f massless flavors in the presence of homogeneous (anti-)self-dual Abelian background gluon field is studied. The zero temperature free energy density of the fourdimensional spherical domain is computed as a function of the background field strength B and domain radius R. Calculation is performed in the one-loop approximation improved by accounting for mixing of the quark and gluon quasi-zero modes with normal modes, with the use of the ζ-function regularization. It is indicated that, under plausible assumption on the character of the mixing, the quantum correction to the free energy density has a minimum as a function of B and R. Within the mean field approach to QCD vacuum based on domain wall network representation of the mean field, an existence of the minimum may prevent infinite growth of individual domain, thus protecting the vacuum from the long-range ordering, and, hence, serving as the origin of disorder in the statistical ensemble of domain wall networks, driven by the minimization of the overall free energy of the dominant gauge field configurations.

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Section: Introductionsupporting

confidence: 76%