**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, *B*_{3} (*T*); *B*_{8}(*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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Last updated: *November 3, 2019*