Pion propagation in real time field theory at finite temperature

Details Pion propagation in real time field theory at finite temperature Pion propagation in real time field theory at finite temperature

2006-08-12

arxiv.org/abs/hep-ph/0608142v1

Eur.Phys.J.C49:755-766,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages TeX and 9 eps figures

Scientific paper

10.1140/epjc/s10052-006-0150-1

We describe how the thermal counterpart of a vacuum two-point function may be obtained in the real time formalism in a simple way by using directly the $2\times 2$ matrices that different elements acquire in this formalism. Using this procedure we calculate the analytic (single component) thermal amplitude for the pion pole term in the ensemble average of two axial-vector currents to two loops in chiral perturbation theory. The general expressions obtained for the effective mass and decay constants of the pion are evaluated in the chiral and the nonrelativistic limits. We also investigate the effect of massive states on these effective parameters.

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