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arXiv 0812.1532hep-ph
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具有t Hooft和八夸克相互作用的Nambu-Jona-Lasinio模型的phase diagram

The phase diagram for the Nambu--Jona-Lasinio model with 't Hooft and eight-quark interactions

B. Hiller, J. Moreira, A. A. Osipov, A. H. Blin

摘要:

结果表明,在Nambu-Jona-Lasinio模型的相图中,一阶跃迁线的端点合并成一个交叉区,并扩展到包括六夸克t Hooft和八夸克相互作用的拉格朗日量,随着违反OZI的八夸克相互作用强度的增加,一阶跃迁线的端点被推向消失的化学势和更高的温度.阐明了相图中端点位置与夸克水平上手征对称性破缺机制之间的联系。我们展示了8 q相互作用如何影响有效夸克自由度的数量。我们能够通过使用Pauli-Villars正则化在大温度下获得该数的正确渐近性。

英文摘要:

It is shown that the endpoint of the first order transition line which merges into a crossover regime in the phase diagram of the Nambu--Jona-Lasinio model, extended to include the six-quark 't Hooft and eight-quark interaction Lagrangians, is pushed towards vanishing chemical potential and higher temperatures with increasing strength of the OZI-violating eight-quark interactions. We clarify the connection between the location of the endpoint in the phase diagram and the mechanism of chiral symmetry breaking at the quark level. We show how the 8q interactions affect the number of effective quark degrees of freedom. We are able to obtain the correct asymptotics for this number at large temperatures by using the Pauli-Villars regularization.

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