Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-02-02
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, 1 figure, talk given at KIAS-APCTP International Symposium on Astro-Hadron Physics, November 10-14, 2003, KIAS, Seou
Scientific paper
10.1143/PTPS.156.174
We study the pion velocity near the critical temperature $T_c$ of chiral symmetry restoration in QCD. Using the hidden local symmetry (HLS) model as the effective field theory, where the chiral symmetry restoration is realized as the vector manifestation (VM), we show that the pion velocity for $T \to T_c$ receives neither quantum nor (thermal) hadronic corrections at the critical temperature even when we start from the bare theory with Lorentz symmetry breaking. We show that this is related to a new fixed point structure originated in the VM. Further we match at a matching scale the axial-vector current correlator in the HLS with the one in the operator product expansion for QCD, and present the matching condition to determine the bare pion velocity. We find that the pion velocity is close to the speed of light, $v_\pi (T) = 0.83 - 0.99$.
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