arXiv 1102.44972011-02-22nucl-thhep-ph

相对论核平均场模型中的非广延临界效应

Nonextensive critical effects in relativistic nuclear mean field models

J. Rozynek, G. Wilk

备注：: 7 pages, 10 figures
发表信息：: EPJ Web of Conferences Vol. 13 (2011) , 05002
DOI：: 10.1051/epjconf/20111305002

摘要：

我们提出了一个可能的扩展通常的相对论性核平均场模型广泛用于描述核物质对会计的影响可能的内在波动所造成的环境。而不是单独确定其特定的原因，我们集中在这样的事实，即这些影响可以概括地纳入到所使用的统计背景的变化，从通常的（广泛的）玻尔兹曼-吉布斯一个到非广泛采取的形式提出的Tsallis与无量纲nonextensivity参数$q$负责上述效果（对于$q \rightarrow 1$一个恢复通常的BG情况）。我们说明这个命题的例子QCD为基础的Nambu - Jona-Lasinio（NJL）模型的多体场论描述的行为，强相互作用的物质呈现其非广泛的版本。我们检查通常的NJL模型的敏感性，从BG的情况下表示的值$| q - 1|$，特别是在临界点附近的偏离。

英文摘要：

We present a possible extension of the usual relativistic nuclear mean field models widely used to describe nuclear matter towards accounting for the influence of possible intrinsic fluctuations caused by the environment. Rather than individually identifying their particular causes we concentrate on the fact that such effects can be summarily incorporated in the changing of the statistical background used, from the usual (extensive) Boltzman-Gibbs one to the nonextensive taken in the form proposed by Tsallis with a dimensionless nonextensivity parameter $q$ responsible for the above mentioned effects (for $q \rightarrow 1$ one recovers the usual BG case). We illustrate this proposition on the example of the QCD-based Nambu - Jona-Lasinio (NJL) model of a many-body field theory describing the behavior of strongly interacting matter presenting its nonextensive version. We check the sensitivity of the usual NJL model to a departure from the BG scenario expressed by the value of $| q - 1|$, in particular in the vicinity of critical points.

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