Real-time pion propagation in finite-temperature QCD

2002/04/30 by D. T. Son, M. A. Stephanov · 1 citation
Physics and Astronomy · #hep-ph

paper · pdf · doi:10.1103/physrevd.66.076011

published as Phys.Rev. D66 (2002) 076011 · 25 pages, 2 figures; v2: discussion on the region of applicability expanded, to be published in PRD

arxiv created 2002/10/11 · arxiv updated 2009/11/30

Abstract

We argue that in QCD near the chiral limit, at all temperatures below the chiral phase transition, the dispersion relation of soft pions can be expressed entirely in terms of three temperature-dependent quantities: the pion screening mass, a pion decay constant, and the axial isospin susceptibility. The definitions of these quantities are given in terms of equal-time (static) correlation functions. Thus, all three quantities can be determined directly by lattice methods. The precise meaning of the Gell-Mann--Oakes--Renner relation at finite temperature is given.

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