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arXiv 1602.01317hep-phastro-ph.HEcond-mat.quant-gashep-lat
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非平衡冷物质的手征微扰物态方程

Equation of state of imbalanced cold matter from chiral perturbation theory

Stefano Carignano, Andrea Mammarella, Massimo Mannarelli

摘要:

本文研究了物质在消失温度下的非极值同位旋化学势和奇异夸克化学势的热力学性质。从最大化静态手征拉格朗日密度得到的首阶压力,我们推导出一个简单的表达式的状态方程在π凝聚相和K介子凝聚相。我们发现一个解析表达式之间的最大值的能量密度和Stefan-Boltzmann能量密度的比值以及在峰值的同位旋化学势都与量子色动力学的晶格模拟很好的协议。通过对系统热力学性质的简单分析,推测了从玻色-爱因斯坦凝聚体态到Bardeen-Cooper-Schrieffer态的交叉点的位置.对于$μ_I \gtrsim 2 m_π$,首阶手征微扰理论失效;例如,它低估了系统的能量密度,导致错误的渐近行为。

英文摘要:

We study the thermodynamic properties of matter at vanishing temperature for non-extreme values of the isospin chemical potential and of the strange quark chemical potential. From the leading order pressure obtained by maximizing the static chiral Lagrangian density we derive a simple expression for the equation of state in the pion condensed phase and in the kaon condensed phase. We find an analytical expression for the maximum of the ratio between the energy density and the Stefan-Boltzmann energy density as well as for the isospin chemical potential at the peak both in good agreement with lattice simulations of quantum chromodynamics. We speculate on the location of the crossover from the Bose-Einstein condensate state to the Bardeen-Cooper-Schrieffer state by a simple analysis of the thermodynamic properties of the system. For $μ_I \gtrsim 2 m_π$ the leading order chiral perturbation theory breaks down; as an example it underestimates the energy density of the system and leads to a wrong asymptotic behavior.

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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