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

被引:6
作者
Ohnishi, K
Fukushima, K
Ohta, K
机构
[1] Univ Tokyo, Inst Phys, Meguro Ku, Tokyo 1538902, Japan
[2] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
[3] Univ Tokyo, Dept Phys, Bunkyo Ku, Tokyo 1130033, Japan
基金
日本学术振兴会;
关键词
chiral phase transition; dynamic critical phenomena; slow mode; mode coupling theory; critical exponent;
D O I
10.1016/j.nuclphysa.2004.11.001
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
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 congruent to 0.98 which is contrasted with z = d/2 = 1.5 of the antiferromagnet. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:260 / 309
页数:50
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