Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-09-08
J.Math.Phys. 40 (1999) 6407-6429
Physics
High Energy Physics
High Energy Physics - Theory
1+30 pages, improved presentation
Scientific paper
The issue discussed is a thermodynamic version of the Bern-Kosower master amplitude formula, which contains all necessary one-loop Feynman diagrams. It is demonstrated how the master amplitude at finite values of temperature and chemical potential can be formulated within the framework of the world-line formalism. In particular we present an elegant method how to introduce a chemical potential for a loop in the master formula. Various useful integral formulae for the master amplitude are then obtained. The non-analytic property of the master formula is also derived in the zero temperature limit with the value of chemical potential kept finite.
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