$$A_0$$ A 0 -condensation in quark-gluon plasma with finite baryon density

Abstract In the present paper, we return to the problem of spontaneous generation of the $$A_0$$ A 0 -background field in QCD at finite temperature and a quark chemical potential, $$\mu $$ μ . On the lattice, this problem was studied by different approaches where an analytic continuation to the imag...

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Autores principales:	M. Bordag, V. Skalozub
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/38f7297cabe346908143c8e2ea4dd1e0
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spelling	oai:doaj.org-article:38f7297cabe346908143c8e2ea4dd1e02021-11-14T12:13:42Z$$A_0$$ A 0 -condensation in quark-gluon plasma with finite baryon density10.1140/epjc/s10052-021-09776-41434-60441434-6052https://doaj.org/article/38f7297cabe346908143c8e2ea4dd1e02021-11-01T00:00:00Zhttps://doi.org/10.1140/epjc/s10052-021-09776-4https://doaj.org/toc/1434-6044https://doaj.org/toc/1434-6052Abstract In the present paper, we return to the problem of spontaneous generation of the $$A_0$$ A 0 -background field in QCD at finite temperature and a quark chemical potential, $$\mu $$ μ . On the lattice, this problem was studied by different approaches where an analytic continuation to the imaginary potential $$i \mu $$ i μ has been used. Here we consider both, real and imaginary chemical potential, analytically within the two-loop gauge-fixing independent effective potential $$W_{eff.}$$ W e f f . . We realize the gauge independence in to ways: (1) on the base of Nielsen’s identity and (2) expressing the potential in terms of Polyakov’s loop. Firstly we reproduce the known expressions in terms of Bernoulli’s polynomials for the gluons and quarks. Then, we calculate the $$\mu $$ μ -dependence, either for small $$\mu $$ μ as expansion or numerically for finite $$\mu $$ μ , real and imaginary. One result is that the chemical potential only weakly changes the values of the condensate fields, but quite strongly deepens the minima of the effective potential. We investigate the dependence of Polyakov’s loop in the minimum of the effective potential, thermodynamic pressure and Debye’s mass on the chemical potential. Comparisons with other results are given.M. BordagV. SkalozubSpringerOpenarticleAstrophysicsQB460-466Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENEuropean Physical Journal C: Particles and Fields, Vol 81, Iss 11, Pp 1-14 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 M. Bordag V. Skalozub $$A_0$$ A 0 -condensation in quark-gluon plasma with finite baryon density
description	Abstract In the present paper, we return to the problem of spontaneous generation of the $$A_0$$ A 0 -background field in QCD at finite temperature and a quark chemical potential, $$\mu $$ μ . On the lattice, this problem was studied by different approaches where an analytic continuation to the imaginary potential $$i \mu $$ i μ has been used. Here we consider both, real and imaginary chemical potential, analytically within the two-loop gauge-fixing independent effective potential $$W_{eff.}$$ W e f f . . We realize the gauge independence in to ways: (1) on the base of Nielsen’s identity and (2) expressing the potential in terms of Polyakov’s loop. Firstly we reproduce the known expressions in terms of Bernoulli’s polynomials for the gluons and quarks. Then, we calculate the $$\mu $$ μ -dependence, either for small $$\mu $$ μ as expansion or numerically for finite $$\mu $$ μ , real and imaginary. One result is that the chemical potential only weakly changes the values of the condensate fields, but quite strongly deepens the minima of the effective potential. We investigate the dependence of Polyakov’s loop in the minimum of the effective potential, thermodynamic pressure and Debye’s mass on the chemical potential. Comparisons with other results are given.
format	article
author	M. Bordag V. Skalozub
author_facet	M. Bordag V. Skalozub
author_sort	M. Bordag
title	$$A_0$$ A 0 -condensation in quark-gluon plasma with finite baryon density
title_short	$$A_0$$ A 0 -condensation in quark-gluon plasma with finite baryon density
title_full	$$A_0$$ A 0 -condensation in quark-gluon plasma with finite baryon density
title_fullStr	$$A_0$$ A 0 -condensation in quark-gluon plasma with finite baryon density
title_full_unstemmed	$$A_0$$ A 0 -condensation in quark-gluon plasma with finite baryon density
title_sort	$$a_0$$ a 0 -condensation in quark-gluon plasma with finite baryon density
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/38f7297cabe346908143c8e2ea4dd1e0
work_keys_str_mv	AT mbordag a0a0condensationinquarkgluonplasmawithfinitebaryondensity AT vskalozub a0a0condensationinquarkgluonplasmawithfinitebaryondensity
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$$A_0$$ A 0 -condensation in quark-gluon plasma with finite baryon density

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