Gauge-independent resummed gluon self-energy in hot QCD

Abstract

The pinch technique (PT) is applied to obtain the gauge-independent resummed gluon self-energy in a hot Yang-Mills gas. Calculation is performed at one- loop level in linear gauges which preserve rotational invariance and the res ummed propagators and vertices are used. The effective gluon self-energy, w hich is obtained as the sum of the resummed gluon self-energy and the resumm ed pinch contributions, is not only gauge-independent but also satisfies the transversality relation. Using this gauge-independent effective gluon self- energy, we calculate the damping rate for transverse gluons in the leading o rder and show that the result coincides with the one obtained by Braaten and Pisarski.

43 pages (including 6 figures), Latex

References in corpus (9)

• Gauge Invariance and Unstable Particles
• A Gauge-Independent Approach to Resonant Transition Amplitudes
• Gauge-Invariant Resummation Formalism for Two-Point Correlation Functions
• Application of the Pinch Technique to Neutral Current Amplitudes and the Concept of the Z Mass
• Gauge-independent Thermal $\beta$ Function In Yang-Mills Theory via the Pinch Technique
• Gauge-independent Thermal $\beta$ Function In Yang-Mills Theory
• Two-loop electroweak corrections to the $\rho$ parameter beyond the leading approximation
• The Gluon Self-Energy in the Coulomb and Temporal Axial Gauges via the Pinch Technique
• The dual gauge fixing property of the S matrix

Cited by in corpus (6)

• Pinch Technique: Theory and Applications
• Pinch technique self-energies and vertices to all orders in perturbation theory
• The Pinch Technique at Two Loops
• The pinch technique at two-loops: The case of mass-less Yang-Mills theories
• The Pinch Technique Beyond One Loop: The Gauge-Independent Two-Loop Quark Self-Energy
• The Gluon Self-Energy in the Coulomb and Temporal Axial Gauges via the Pinch Technique