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

Abstract

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.

27 pages, Latex, eqsection.sty file included

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• The gauge invariant effective potential: equilibrium and non-equilibrium aspects
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• Debye Screening at Finite Temperature, Revisited
• Curvaton scenario with low scale inflation revisited
• Split dimensional regularization for the Coulomb gauge at two loops
• The Pinch Technique Beyond One Loop: The Gauge-Independent Two-Loop Quark Self-Energy
• Gauge Invariant Higgs mass bounds from the Physical Effective Potential
• The Gluon Self-Energy in the Coulomb and Temporal Axial Gauges via the Pinch Technique
• Gauge-independent resummed gluon self-energy in hot QCD
• Gauge-Invariant Resummation Formalism and Unitarity in Non-Commutative QED
• On The Pinch Technique Beyond One Loop
• The dual gauge fixing property of the S matrix