Gauge Invariance of Resummation Schemes: The QCD Partition Function

Abstract

We pick up a method originally developed by Cheng and Tsai for vacuum perturbation theory which allows to test the consistency of different sets of Feynman rules on a purely diagrammatic level, making explicit loop calculations superfluous. We generalize it to perturbative calculations in thermal field theory and we show that it can be adapted to check the gauge invariance of physical quantities calculated in improved perturbation schemes. Specifically, we extend this diagrammatic technique to a simple resummation scheme in imaginary time perturbation theory. As an application, we check up to O(g^4) in general covariant gauge the gauge invariance of the result for the QCD partition function which was recently obtained in Feynman gauge.

29 pages, LaTeX, using RevTeX and feynmf.sty, Replacement: NO changes to the paper, TeX-source now additionally avaible

References in corpus (7)

• Effective Field Theory Approach to High-Temperature Thermodynamics
• The Three-Loop Free Energy for High-Temperature QED and QCD with Fermions
• The Free Energy of Hot Gauge Theories with Fermions Through g^5
• The non-Abelian Debye screening length beyond leading order
• THERMODYNAMICS OF THE ELECTROWEAK PHASE TRANSITION
• DIAGRAMMATIC ANALYSIS OF QCD GAUGE TRANSFORMATIONS AND GAUGE CANCELLATIONS
• The $\mathcal{O}(g^6)$ coefficient in the thermodynamic potential of hot SU(N) Gauge Theories and MQCD

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• Feynman rules in radial gauge