Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-12-03
Annals Phys.261:1-36,1997
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, LaTeX, using RevTeX and feynmf.sty, Replacement: NO changes to the paper, TeX-source now additionally avaible
Scientific paper
10.1006/aphy.1997.5730
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.
Achhammer Marc
Heinz Ulrich
Leupold Stefan
Wiedemann Urs Achim
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