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Fluctuation induced first order phase transition in U(n)xU(n) models using chiral invariant expansion of FRG flows | | G. Fejos
; | | Date: |
12 Sep 2014 | | Abstract: | Phase transition in the U(n)xU(n) model is investigated for arbitrary flavor
number n. We present a non-perturbative, 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 are 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
to recover the beta-functions of the coupling constants of the
epsilon-expansion, and furthermore, it shows a direct evidence that regardless
of the actual flavor number, the system always undergoes a fluctuation induced
first order phase transition. | | Source: | arXiv, 1409.3695 | | Services: | Forum | Review | PDF | Favorites | |
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