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arXiv 1409.3695hep-ph
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用泛函重整化群流的手征不变展开研究涨落诱导的U(n)xU(n)模型的一级相变

Fluctuation induced first order phase transition in U(n)xU(n) models using chiral invariant expansion of functional renormalization group flows

G. Fejos

摘要:

研究了任意味数n时U(n)xU(n)模型的相变.本文提出了一种非微扰的3 + 1维有限温度处理方法,该方法基于泛函重整化群流的手征不变展开,得到了有效势。所得到的方程塔是类似的,但不完全相同的戴森-Schwinger的层次结构,并已被截断为实用目的。我们研究了系统在参数空间的扩展集(n = 2,3,4)中的有限温度行为,并进行了大n分析。我们的方法是能够恢复的单回路β函数的耦合常数的展开;此外,它显示了直接的证据,无论实际的味道数,在我们的近似,系统经历了波动引起的一阶相变。

英文摘要:

Phase transition in U(n)xU(n) models is investigated for arbitrary flavor number n. We present a nonperturbative, 3+1 dimensional finite temperature treatment of obtaining the effective potential, based on a chiral invariant expansion of the functional renormalization group flows. The obtained tower of equations is similar but not identical to that of the Dyson-Schwinger hierarchy and has to be truncated for practical purposes. We investigate the finite temperature behavior of the system in an expansive set of the parameter space for n = 2, 3, 4 and also perform a large-n analysis. Our method is capable of recovering the one-loop beta functions of the coupling constants of the epsilon expansion; furthermore, it shows direct evidence that regardless of the actual flavor number, within our approximation, the system undergoes a fluctuation induced first order phase transition.

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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