arXiv:2312.02675·v1·High Energy Physics — Phenomenology

Induced color charges in QGP at Polyakov's loop and chromomagnetic fields

Abstract

In quark-gluon plasma (QGP), at high temperature the spontaneous generation of color magnetic fields, H^3(T), H^8(T) and usual magnetic field $H (T) i sr e a l i z e d . A l so, c l a ss i c a l f i e l d - A_{0} (T) co n d e n s a t e d i r ec tl y r e l a t e d t o t h e P o l y ak o v l oo p - i ss p o n t an eo u s l y cr e a t e d . T h eco mm o n g e n er a t i o n o f b o t h o f t h e m w i t hin t h e tw o l oo p e f f ec t i v e p o t e n t ia l w a s in v es t i g a t e d r ece n tl y f or S U (2) g l u o d y nami cs . T h e v a l u eso f t h e f i e l d s t r e n g t h s an d t h e m ec hani s m o f t h e ma g n e t i c f i e l d ss t abi l i z a t i o n d u e t o A_{0} (T) ha v e b ee n d i sco v er e d . I n t h e p r ese n tp a p er, w e d e v e l o p f u r t h er t h ese in v es t i g a t i o n s in or d er t o f in d n e w e f f ec t so f QGP . F i r s t o f a l l, w e g e n er a l i z e t h e S U (2) co n s i d er a t i o n t o t h e f u l l QC D c a se . T h e n w ec a l c u l a t e t h e in d u ce d co l or c ha r g e Q_{(} in d)^{3} a tt h e ba c k g r o u n d ma g n e t i c f i e l d H (T) an d t h eco n d e n s a t es A_{0}^{3} (T) . T h e f i e l d$ A_0^8(T) is zero in used two-loop approximation. So, Q_{ind}^8 is zero also. We conclude that magnetic field essentially influences the induced charge compared to the zero field case investigated in \cite{skal21-cond-156}. The extension to other type magnetic fields is given. Key words: spontaneous magnetization, high temperature, asymptotic freedom, effective potential, $A_{0}$ condensate, effective charge, effective vertexes.