Mode Softening near the critical point within effective approaches to QCD

Details Mode Softening near the critical point within effective approaches to QCD Mode Softening near the critical point within effective approaches to QCD

2004-03-03

arxiv.org/abs/hep-ph/0403039v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 6 figures. Talk given at KIAS-APCTP International Symposium in Astro-Hadron Physics: Compact Stars: Quest for New St

Scientific paper

We study the soft mode along the critical line in the phase diagram with the tricritical point, using the Nambu--Jona-Lasinio model. At the critical point with finite quark mass, the ordering density becomes a linear combination of the scalar, quark number and energy densities, and their susceptibilities diverge with the same exponent. Based on the conservation law, it is argued that the divergent susuceptibility of a conserved density must be accompanied by a critically--slowing hydrodynamic mode. The shift of the soft mode from the sigma meson to the hydrodynamic mode occurs at the tricritical point on the critical line.

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