Pion Velocity near the Chiral Phase Transition Point in the Vector Manifestation

Details Pion Velocity near the Chiral Phase Transition Point in the Vector Manifestation Pion Velocity near the Chiral Phase Transition Point in the Vector Manifestation

2005-06-09

arxiv.org/abs/hep-ph/0506092v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Contribution to the proceedings of the YITP workshop on Non-equilibrium dynamics in the QCD phase transitions, February 22 - 2

Scientific paper

We study the pion velocity near the critical temperature $T_c$ of chiral symmetry restoration in QCD. Using chiral perturbation theory based on hidden local symmetry (HLS) as an effective field theory, where the chiral symmetry restoration is realized as the vector manifestation (VM), we show that the pion velocity for $T \to T_c$ is close to the speed of light, $v_\pi (T) = 0.83 - 0.99$ which is at variance with the sigma model result which predicts $v_\pi (T_c) = 0$. Our prediction on $v_\pi (T_c)$ is compared with the value extracted from the recent RHIC data.

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