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Phys. Rev. D 66, 076011 (2002) [13 pages]

Real-time pion propagation in finite-temperature QCD

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D. T. Son*
Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195-1550

M. A. Stephanov
Department of Physics, University of Illinois, Chicago, Illinois 60607-7059
RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973

Received 29 April 2002; published 29 October 2002

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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.66.076011
DOI:
10.1103/PhysRevD.66.076011
PACS:
11.10.Wx, 11.30.Rd

*Electronic address: son@phys.washington.edu

Electronic address: misha@uic.edu