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arXiv 1306.0588hep-phhep-thnucl-th
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非局域PNJL模型中的介质诱导Lorentz对称性破缺效应

Medium induced Lorentz symmetry breaking effects in nonlocal PNJL models

S. Benic, D. Blaschke, G. A. Contrera, D. Horvatic

摘要:

本文详细讨论了夸克相互作用调节子在不同参数化下的两种味非定域Polyakov-Nambu-Jona-Lasinio模型的热力学性质。该模型的结构升级,以允许在夸克自能违反洛伦兹不变性,由于介质的存在下的条款。我们研究的临界性质,相图以及状态方程。此外,在非定域的Polyakov-Nambu-Jona-Lasinio模型中,还讨论了π介子和σ介子的Mott效应。特别是,我们继续介子极化函数在复杂的能量平面,并在一定的近似下,我们能够提取虚部作为介子能量的函数。我们无法计算出介子的动力学质量,因此我们采用了一种技术研究方法,用依赖于温度的空间介子质量代替介子能量,来研究介子宽度与温度的关系。我们的研究结果表明,虽然介子宽度的温度行为是定性的协变监管机构的广泛类相同的,通过瞬子液体模型的非局域相互作用的特殊情况下,挑选出一个截然不同的行为。

英文摘要:

In this paper we detail the thermodynamics of two flavor nonlocal Polyakov-Nambu-Jona-Lasinio models for different parametrizations of the quark interaction regulators. The structure of the model is upgraded in order to allow for terms in the quark selfenergy which violate Lorentz invariance due to the presence of the medium. We examine the critical properties, the phase diagram as well as the equation of state. Furthermore, some aspects of the Mott effect for pions and sigma mesons are discussed explicitly within a nonlocal Polyakov-Nambu-Jona-Lasinio model. In particular, we continued the meson polarization function in the complex energy plane and under certain approximations, we were able to extract the imaginary part as a function of the meson energy. We were not able to calculate the dynamical meson mass, and therefore resorted to a technical study of the temperature dependence of the meson width by replacing the meson energy with the temperature dependent spatial meson mass. Our results show that while the temperature behavior of the meson widths is qualitatively the same for a wide class of covariant regulators, the special case where the nonlocal interactions are introduced via the instanton liquid model singles out with a drastically different behavior.

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