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arXiv 0905.3408nucl-thhep-ph
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QCD的Nambu-Jona-Lasinio模型的非广延效应

Nonextensive effects in the Nambu--Jona-Lasinio model of QCD

J. Rozynek, G. Wilk

摘要:

我们提出了一个非广延的版本,最近讨论的QCD为基础的Nambu-Jona-Lasinio(NJL)模型的多体场论描述的行为,强相互作用的物质。它是基于NJL模型中所用的Boltzmann-Gibbs(BG)统计力学的非广延推广,该模型采用Tsallis提出的形式,并以无量纲非广延参数q为特征(q -> 1时恢复通常的BG情况)。这是一个新的现象学参数的模型,占总结所有可能的(到目前为止未指定)的影响,导致偏离所需的条件,通常的BG方法是完全适用的。结果表明,手征对称性恢复的温度依赖性、π介子和σ介子的质量以及旋节线分解的特征对偏离通常的BG情况很敏感。

英文摘要:

We present a nonextensive version of the recently discussed QCD-based Nambu - Jona-Lasinio (NJL) model of many-body field theory describing behavior of strongly interacting matter. It is based on the nonextensive generalization of the Boltzmann-Gibbs (BG) statistical mechanics used in NJL model, which was taken in the form proposed by Tsallis and characterized by a dimensionless nonextensivity parameter q (for q -> 1 one recovers the usual BG case). This is a new phenomenological parameter of the model which accounts summarily for all possible (so far unspecified) effects leading to departure from the conditions required by the usual BG approach to be fully applicable. It turns out that temperature dependencies of chiral symmetry restoration, masses of pion and sigma meson and characteristic features of spinodal decomposition are sensitive to the departures from the usual BG case.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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