Journal article

Publication year: 1997

Pages: 1-36

Journal: Annals of Physics

Volume number: 261

Issue number: 1

ISSN: 0003-4916

Open access status: Green

DOI Link: https://doi.org/10.1006/aphy.1997.5730

Publisher: Elsevier Masson

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. In this resummation scheme, the QCD partition function was calculated recently in Feynman gauge. To illustrate our method, we establish the invariance of this result under general covariant gauge transformations up to O(g(4)). (C) 1997 Academic Press.

Harvard Citation style: Achhammer, M., Heinz, U., Leupold, S. and Wiedemann, U. (1997) Gauge invariance of resummation schemes: The QCD partition function, Annals of Physics, 261(1), pp. 1-36. https://doi.org/10.1006/aphy.1997.5730

APA Citation style: Achhammer, M., Heinz, U., Leupold, S., & Wiedemann, U. (1997). Gauge invariance of resummation schemes: The QCD partition function. Annals of Physics. 261(1), 1-36. https://doi.org/10.1006/aphy.1997.5730