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

Fejős, Gergely (2014) Fluctuation induced first order phase transition in U(n) × U(n) models using chiral invariant expansion of functional renormalization group flows. PHYSICAL REVIEW D, 90 (9). ISSN 2470-0010

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Abstract

Phase transition in U (n)×U (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 β functions of the coupling constants of the ǫ 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.

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