Dynamic aspect of the chiral phase transition in the mode coupling theory

Details Dynamic aspect of the chiral phase transition in the mode coupling theory Dynamic aspect of the chiral phase transition in the mode coupling theory

2004-09-21

arxiv.org/abs/nucl-th/0409046v1

Nucl.Phys. A748 (2005) 260-309

Physics

Nuclear Physics

Nuclear Theory

57 pages, no figures

Scientific paper

10.1016/j.nuclphysa.2004.11.001

We analyze the dynamic aspect of the chiral phase transition. We apply the mode coupling theory to the linear sigma model and derive the kinetic equation for the chiral phase transition. We challenge Hohenberg and Halperin's classification scheme of dynamic critical phenomena in which the dynamic universality class of the chiral phase transition has been identified with that of the antiferromagnet. We point out a crucial difference between the chiral dynamics and the antiferromagnet system. We also calculate the dynamic critical exponent for the chiral phase transition. Our result is $z=1-\eta/2\cong 0.98$ which is contrasted with $z=d/2=1.5$ of the antiferromagnet.

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