Spontaneous Magnetization of the Hot Quark-Gluon Plasma

Abstract

In quantum chromodynamics (QCD), the spontaneous magnetization of quark-gluon plasma is investigated in a wide temperature interval corresponding to the deconfinement Td and the electroweak phase transition (EWPT) Tew 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 Td(H) ∼ 110 − 120 MeV, that is essentially lower the value Td(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.