A new approach for the vertical part of the contour in thermal field theories

Details A new approach for the vertical part of the contour in thermal field theories A new approach for the vertical part of the contour in thermal field theories

1999-01-11

arxiv.org/abs/hep-ph/9901263v1

Phys.Lett. B455 (1999) 205-212

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX2e, 2 postscript figures (requires the package graphics), 14 pages

Scientific paper

10.1016/S0370-2693(99)00460-8

A lot of work has been devoted in the past to understand the role of vertical branch of the time path in thermal field theories, and in particular to see how to deal with it in the real-time formalism. Unlike what is commonly believed, I emphasize on the fact that the vertical part of the path contributes to real-time Green's functions, and I prove that this contribution is taken into account simply by the substitution $n(\omega_{\boldsymbol k})\to n(|k_o|)$ in the real time Feynman rules. This new proof is based on very simple algebraic properties of the contour integration.

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