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arXiv 1705.06403hep-thmath-phmath.MP
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副本场论中的自发对称性破缺

Spontaneous symmetry breaking in replica field theory

R. Acosta Diaz, G. Menezes, N. F. Svaiter, C. A. D. Zarro

备注：
Accepted for publication in Physical Review D
发表信息：
Phys. Rev. D 96, 065012 (2017)
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摘要：

本文讨论了一个无序的$d$维欧氏$λφ^{4}$模型.该系统的平均自由能的主要贡献被写为一系列的副本配分函数的模型。在每个副本配分函数中，使用鞍点方程和施加副本对称性，我们表明在无序模型中存在自发对称性破缺机制。此外，主副本配分函数必须用大$N$欧氏副本场论来描述.我们讨论了在欧氏时间内考虑周期边界条件的有限温度效应，并采用Landau-Ginzburg方法。在低温区，我们证明了该模型中存在$N$瞬子。

英文摘要：

In this paper we discuss a disordered $d$-dimensional Euclidean $λφ^{4}$ model. The dominant contribution to the average free energy of this system is written as a series of the replica partition functions of the model. In each replica partition function, using the saddle-point equations and imposing the replica symmetric ansatz, we show the presence of a spontaneous symmetry breaking mechanism in the disordered model. Moreover, the leading replica partition function must be described by a large-$N$ Euclidean replica field theory. We discuss finite temperature effects considering periodic boundary condition in Euclidean time and also using the Landau-Ginzburg approach. In the low temperature regime we prove the existence of $N$ instantons in the model.

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