Where does the Rho Go? Chirally Symmetric Vector Mesons in the Quark--Gluon Plasma.

Abstract

If the phase transition of $QCD$ at nonzero temperature is dominated by the (approximate) restoration of chiral symmetry, then the transition might be characterized using a gauged linear sigma model. Assuming that vector meson dominance holds, such sigma models predict that at the temperature of chiral restoration, the pole mass of the thermal $\rho$ meson is greater than that at zero temperature; in the chiral limit and in weak coupling this mass is $\sim 962MeV$. The width of the thermal $\rho -a_1$ peak is estimated to be about $200-250MeV$.

4 pages, ReVTeX.

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• Statistical Properties of the Linear Sigma Model
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• Violation of Vector Dominance in the Vector Manifestation
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