Integral representations of thermodynamic 1 PI Green functions in the world - line formalism
نویسنده
چکیده
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.
منابع مشابه
1 PI Green functions in the world - line formalism
We demonstrate, at the one-loop level, how the theory-independent part of proper N-point Green functions at finite temperature and chemical potential can be formulated in the world-line formalism, where φ 3 theory, photon scattering, effective potential in a constant magnetic field, π 0 → 2γ decay are all described in a unified way. We then derive various useful formulae and check their consist...
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