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arXiv 2208.04445hep-thcond-mat.dis-nn
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自发性连续对称性断裂动态恢复中的无序效应

Disorder Effects in Dynamical Restoration of Spontaneously Broken Continuous Symmetry

G. O. Heymans, N. F. Svaiter, G. Krein

摘要:

讨论了具有连续对称破缺相的$N=2$的欧氏量子$O(N)$模型.我们在低温下研究了与标量场线性耦合的淬火无序的存在下的系统。对无序的所有实现的系综进行平均,我们用一系列配分函数的矩来表示平均自由能。在单圈近似下,我们证明了存在一个可数的时刻集合,导致系统产生临界行为。我们的结果表明,在平衡系统中,虚数无序的强关联产生了大质量模的类属标度不变性。

英文摘要:

We discuss the Euclidean quantum $O(N)$ model with $N=2$ in a continuous broken symmetry phase. We study the system at low temperatures in the presence of quenched disorder linearly coupled to the scalar field. Performing an average over the ensemble of all realizations of the disorder, we represent the average free energy in terms of a series of the moments of the partition function. In the one-loop approximation, we prove that there is a denumerable collection of moments that lead the system to develop critical behavior. Our results indicate that in an equilibrium system, the strongly correlation of the disorder in imaginary produces generic scale invariance in the massive modes.

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