dorsal/arxiv
View SchemaDynamic aspect of the chiral phase transition in the mode coupling theory
| Authors | K. Ohnishi, K. Fukushima, K. Ohta |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0409046 |
| URL | https://arxiv.org/abs/nucl-th/0409046 |
| DOI | 10.1016/j.nuclphysa.2004.11.001 |
| Journal | Nucl.Phys. A748 (2005) 260-309 |
Abstract
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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"abstract": "We analyze the dynamic aspect of the chiral phase transition. We apply the\nmode coupling theory to the linear sigma model and derive the kinetic equation\nfor the chiral phase transition. We challenge Hohenberg and Halperin\u0027s\nclassification scheme of dynamic critical phenomena in which the dynamic\nuniversality class of the chiral phase transition has been identified with that\nof the antiferromagnet. We point out a crucial difference between the chiral\ndynamics and the antiferromagnet system. We also calculate the dynamic critical\nexponent for the chiral phase transition. Our result is $z=1-\\eta/2\\cong 0.98$\nwhich is contrasted with $z=d/2=1.5$ of the antiferromagnet.",
"arxiv_id": "nucl-th/0409046",
"authors": [
"K. Ohnishi",
"K. Fukushima",
"K. Ohta"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/j.nuclphysa.2004.11.001",
"journal_ref": "Nucl.Phys. A748 (2005) 260-309",
"title": "Dynamic aspect of the chiral phase transition in the mode coupling theory",
"url": "https://arxiv.org/abs/nucl-th/0409046"
},
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