Nonlinear Phenomena in Complex Systems, 2019, Vol.22, No.3, pp.233

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2019, Vol.22, No.3, pp.233 - 241

Spontaneous Magnetization of the Hot Quark-Gluon Plasma
P. Minaiev and V. Skalozub

In quantum chromodynamics (QCD), the spontaneous magnetization of quark-gluon plasma is investigated in a wide temperature interval corresponding to the deconfinement T_d and the electroweak phase transition (EWPT) T_ew temperatures. The effective potential accounting for the one-loop and the daisy diagrams of all the fields is calculated. It is real and consistent at high temperature due to the cancelation of the imaginary terms entering the both parts. The strengths of the temperature dependent chromomagnetic, B₃ (T); B₈(T), and usual magnetic, H(T); fields, are determined as the values for the minimum position of this potential. It is found that in the field presence T_d (H) ∼ 110 − 120 MeV, that is essentially lower the value T_d (H=0) ∼ 160 − 180 MeV estimated at zero fields. The role of the gluon fields and quarks at various temperatures is investigated in details. At temperatures T < 110 − 120 MeV the effective potential minimum value being negative approaches to zero. This is signaling the color confinement. For temperature near EWPT this fields should be present too, because of existing of color confinement.

Key words: quark-gluon plasma, deconfinement, effective potential

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