Gauge-independent Thermal $β$ Function In Yang-Mills Theory via the Pinch Technique

Details Gauge-independent Thermal $β$ Function In Yang-Mills Theory via the Pinch Technique Gauge-independent Thermal $β$ Function In Yang-Mills Theory via the Pinch Technique

1995-12-27

arxiv.org/abs/hep-ph/9512434v2

Nucl.Phys. B472 (1996) 271-292

Physics

High Energy Physics

High Energy Physics - Phenomenology

27 pages, Latex, eqsection.sty file included

Scientific paper

10.1016/0550-3213(96)00198-8

It is proposed to use the pinch technique (PT) to obtain the gauge-independent thermal $\beta$ function $\beta_T$ in a hot Yang-Mills gas. Calculations of the thermal $\beta$ function are performed at one-loop level in four different gauges, (i) the background field method with an arbitrary gauge parameter, (ii) the Feynman gauge, (iii) the Coulomb gauge, and (iv) the temporal axial gauge. When the pinch contributions to the gluon self-energy are included, the same result is derived for $\beta_T$ in all four cases.

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