Renormalization-group study of weakly first-order phase transitions

Abstract

We study the universal critical behaviour near weakly first-order phase transitions for a three-dimensional model of two coupled scalar fields -- the cubic anisotropy model. Renormalization-group techniques are employed within the formalism of the effective average action. We calculate the universal form of the coarse-grained free energy and deduce the ratio of susceptibilities on either side of the phase transition. We compare our results with those obtained through Monte Carlo simulations and the epsilon-expansion.

8 pages, 4 figures in eps format

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• Bubble-nucleation rates for radiatively induced first-order phase transitions
• Critical behavior of the two-dimensional N-component Landau-Ginzburg Hamiltonian with cubic anisotropy
• ${\mathbb{Z}}_4$-symmetric perturbations to the XY model from functional renormalization
• The Exact Renormalization Group and First-Order Phase Transitions
• Renormalization Group Flow Equations For The Scalar O(N) Theory
• Deconfinement Phase Transition with External Magnetic Field in Friedberg-Lee Model