Integral representations of thermodynamic 1PI Green functions in the world-line formalism

Abstract

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.

1+30 pages, improved presentation

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Cited by in corpus (7)

• Perturbative Quantum Field Theory in the String-Inspired Formalism
• Worldline master formulas for the dressed electron propagator, part 1: Off-shell amplitudes
• String-inspired representations of photon/gluon amplitudes
• Worldline master formulas for the dressed electron propagator, part 2: On-shell amplitudes
• Hard Thermal Loops and Beyond in the Finite Temperature World-Line Formulation of QED
• Anatomy of Two-Loop Effective Action in Noncommutative Field Theories
• Dressed Dirac Propagator from a Locally Supersymmetric $\mathcal{N}=1$ Spinning Particle