The Gluon Self-Energy in the Coulomb and Temporal Axial Gauges via the Pinch Technique

Abstract

The $S$-matrix pinch technique is used to derive an effective gluon self-energy to one-loop order, when the theory is quantized in the Coulomb gauge (CG) and in the temporal axial gauge (TAG). When the pinch contributions are added, the gluon self-energies calculated in CG and TAG turn out to be identical and coincide with the result previously obtained with covariant gauges. The issue of gauge independence of several quantities in hot QCD is discussed from the pinch technique point of view. It is also pointed out that the spurious singularities which appear in TAG calculations cancel out once the pinch contributions are combined.

35 pages (including 5 figures), LaTeX

References in corpus (14)

• Application of the Background-Field Method to the electroweak Standard Model
• A Self-consistent Inclusion of Magnetic Screening for the Quark-Gluon Plasma
• Gauge Invariance and Unstable Particles
• A Gauge-Independent Approach to Resonant Transition Amplitudes
• Gauge-Invariant Resummation Formalism for Two-Point Correlation Functions
• On the connection between the pinch technique and the background field method
• Universality of the Pinch Technique Gauge Boson Self-Energies
• Gauge Invariant three Boson Vertices and their Ward Identities in the Standard Model
• 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
• Gauge-independent resummed gluon self-energy in hot QCD
• The heavy quark decomposition of the S-matrix and its relation to the pinch technique

Cited by in corpus (8)

• Pinch Technique: Theory and Applications
• Pinch technique self-energies and vertices to all orders in perturbation theory
• The pinch technique at two-loops: The case of mass-less Yang-Mills theories
• Electroweak pinch technique to all orders
• Gauge-independent Thermal $\beta$ Function In Yang-Mills Theory via the Pinch Technique
• The Pinch Technique Beyond One Loop: The Gauge-Independent Two-Loop Quark Self-Energy
• Gauge-independent resummed gluon self-energy in hot QCD
• The dual gauge fixing property of the S matrix