Phenomenological approach to the critical dynamics of the QCD phase transition revisited

Details Phenomenological approach to the critical dynamics of the QCD phase transition revisited Phenomenological approach to the critical dynamics of the QCD phase transition revisited

2004-11-16

arxiv.org/abs/hep-ph/0411207v2

J.Phys. G31 (2005) 1055-1066

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, the Curie principle is discussed in S.2, to appear in J.Phys.G

Scientific paper

10.1088/0954-3899/31/9/008

The phenomenological dynamics of the QCD critical phenomena is revisited. Recently, Son and Stephanov claimed that the dynamical universality class of the QCD phase transition belongs to model H. In their discussion, they employed a time-dependent Ginzburg-Landau equation for the net baryon number density, which is a conserved quantity. We derive the Langevin equation for the net baryon number density, i.e., the Cahn-Hilliard equation. Furthermore, they discussed the mode coupling induced through the {\it irreversible} current. Here, we show the {\it reversible} coupling can play a dominant role for describing the QCD critical dynamics and that the dynamical universality class does not necessarily belong to model H.

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