Pion Propagation near the QCD Chiral Phase Transition

Details Pion Propagation near the QCD Chiral Phase Transition Pion Propagation near the QCD Chiral Phase Transition

2001-11-08

arxiv.org/abs/hep-ph/0111100v2

Phys.Rev.Lett. 88 (2002) 202302

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages (single column), RevTeX; added references, version to be published in PRL

Scientific paper

10.1103/PhysRevLett.88.202302

We point out that, in analogy with spin waves in antiferromagnets, all parameters describing the real-time propagation of soft pions at temperatures below the QCD chiral phase transition can be expressed in terms of static correlators. This allows, in principle, the determination of the soft pion dispersion relation on the lattice. Using scaling and universality arguments, we determine the critical behavior of the parameters of pion propagation. We predict that when the critical temperature is approached from below, the pole mass of the pion drops despite the growth of the pion screening mass. This fact is attributed to the decrease of the pion velocity near the phase transition.

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