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arXiv · 0705.4462

Two-parameter scaling of correlation functions near continuous phase transitions

Nils Hasselmann·Andreas Sinner·Peter Kopietz
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Abstract

We discuss the order parameter correlation function in the vicinity of continuous phase transitions using a two-parameter scaling form G(k) = k_c^{-2} g(kξ,k/k_c), where k is the wave-vector, ξis the correlation length, and the interaction-dependent non-universal momentum scale k_c remains finite at the critical fixed point. The correlation function describes the entire critical regime and captures the classical to critical crossover. One-parameter scaling is recovered only in the limit k/k_c->0. We present an approximate calculation of g(x,y) for the Ising universality class using the functional renormalization group.

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Nils Hasselmann, Andreas Sinner, Peter Kopietz. 2007-09-26. Two-parameter scaling of correlation functions near continuous phase transitions. https://doi.org/10.1103/physreve.76.040101

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