Gauge-independent Thermal $\beta$ Function In Yang-Mills Theory

Abstract

It is proposed to use the pinch technique (PT) to obtain the gauge-independent thermal $\beta$ function 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, (ii) the Feynman gauge, (iii) the Coulomb gauge, and (iv) the temporal axial gauge, and they yield the same result in all four cases.

11 pages, Latex

References in corpus (14)

• Application of the Background-Field Method to the electroweak Standard Model
• Novel Approach to Confront Electroweak Data and Theory
• Gauge Invariance of Green Functions: Background-Field Method versus Pinch Technique
• The Background Field Method: Alternative Way of Deriving the Pinch Technique's Results
• Gauge Invariant Three-Boson Vertices in the Standard Model and the Static Properties of the W
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• Renormalizable W Self-Energy in the Unitary Gauge via the Pinch Technique
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• Temperature Dependence of the QCD Coupling
• LEADING VACUUM-POLARIZATION CONTRIBUTIONS TO THE RELATION BETWEEN POLE AND RUNNING MASSES
• The Thermal Beta-Function in Yang-Mills Theory
• The heavy quark decomposition of the S-matrix and its relation to the pinch technique

Cited by in corpus (13)

• Pinch Technique: Theory and Applications
• Generalized Pinch Technique and the Background Field Method in General Gauges
• Electroweak Effective Charges and their relation to Physical Cross Sections
• Electroweak pinch technique to all orders
• Debye Screening at Finite Temperature, Revisited
• 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
• Consistency Condition for the Pinch Technique Self-Energies at Two Loops
• The Gluon Self-Energy in the Coulomb and Temporal Axial Gauges via the Pinch Technique
• Gauge-independent resummed gluon self-energy in hot QCD
• Nonperturbative screening of the Landau pole
• On The Pinch Technique Beyond One Loop
• The dual gauge fixing property of the S matrix