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arXiv 1602.08994hep-phhep-latnucl-th
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平行电场和磁场背景下夸克物质的手征相变和手征密度平衡

Quark Matter in a Parallel Electric and Magnetic Field Background: Chiral Phase Transition and Equilibration of Chiral Density

M. Ruggieri, G. X. Peng

摘要:

本文研究了夸克物质在静态均匀平行电场$\bm E$和磁场$\bm B$背景下的自发手征对称破缺。我们使用一个Nambu-Jona-Lasinio模型与本地内核相互作用计算相关的量来描述手征对称性破缺在有限温度下的广泛的$E$和$B$。我们研究了相同数量级的$E$和$B$的手性对称性破缺的逆催化作用。然后,我们专注于平衡的手征密度,$n_5$,轴向异常的临界温度动态产生的效果。$n_5$的平衡,在热浴中的手性翻转过程的结果,允许引入手性化学势,$μ_5$,其通过将数方程耦合到间隙方程,并在$E/T^2$,$B/T^2$和$μ_5^2/T^2$中的扩展内求解两者,作为温度和场强的函数自洽地计算。我们发现,即使手性产生和平衡的弛豫时间$τ_M$内,它不会急剧改变的热力学,特别是参考由外部场诱导的逆催化,只要在平衡时的平均$μ_5$不是太大。

英文摘要:

In this article we study spontaneous chiral symmetry breaking for quark matter in the background of static and homogeneous parallel electric field $\bm E$ and magnetic field $\bm B$. We use a Nambu-Jona-Lasinio model with a local kernel interaction to compute the relevant quantities to describe chiral symmetry breaking at finite temperature for a wide range of $E$ and $B$. We study the effect of this background on inverse catalysis of chiral symmetry breaking for $E$ and $B$ of the same order of magnitude. We then focus on the effect of equilibration of chiral density, $n_5$, produced dynamically by axial anomaly on the critical temperature. The equilibration of $n_5$, a consequence of chirality flipping processes in the thermal bath, allows for the introduction of the chiral chemical potential, $μ_5$, which is computed self-consistently as a function of temperature and field strength by coupling the number equation to the gap equation, and solving the two within an expansion in $E/T^2$, $B/T^2$ and $μ_5^2/T^2$. We find that even if chirality is produced and equilibrates within a relaxation time $τ_M$, it does not change drastically the thermodynamics, with particular reference to the inverse catalysis induced by the external fields, as long as the average $μ_5$ at equilibrium is not too large.

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