Electric and magnetic screenings of gluons in a model with dimension-2 gluon condensate

TL;DR

This paper investigates how electric and magnetic gluons behave at different temperatures in a gluodynamic model with a dimension-2 gluon condensate, revealing insights into deconfinement and gluon confinement phenomena.

Contribution

It introduces a model with a dimension-2 gluon condensate to study gluon screening masses and phase transition behavior at finite temperature.

Findings

Electric and magnetic gluons are degenerate at low T.

Electric and magnetic gluons split at temperature T_0.

Electric screening mass increases rapidly above T_0.

Abstract

Electric and magnetic screenings of the thermal gluons are studied by using the background expansion method in a gluodynamic model with dimension-2 gluon condensate. At low temperature, the electric and magnetic gluons are degenerate. With the increasing of temperature, it is found that the electric and magnetic gluons start to split at certain temperature $T_0$. The electric screening mass changes rapidly with temperature when $T>T_0$, and the Polyakov loop expectation value rises sharply around $T_0$ from zero in the vacuum to a value around 0.8 at high temperature. This suggests that the color electric deconfinement phase transition is driven by electric gluons. It is also observed that the magnetic screening mass keeps almost the same as its vacuum value, which manifests that the magnetic gluons remains confined. Both the screening masses and the Polyakov loop results are qualitatively in agreement with the Lattice calculations.