We study the dependence of 4D SU(N) gauge theories on the topological θ term at finite temperature T. We exploit the lattice formulation of the theory, presenting numerical results for the expansion of the free energy up to O(θ^6), for N=3 and N=6. Our analysis shows that the θ dependence drastically changes across the deconfinement transition: the low-T phase is characterized by a large-N scaling with θ/N as relevant variable, while in the high-T phase the scaling variable is just θ and the free energy is essentially determined by the instanton-gas approximation.

Change of θ Dependence in 4D SU(N) Gauge Theories Across the Deconfinement Transition

BONATI, CLAUDIO;D'ELIA, MASSIMO;VICARI, ETTORE
2013-01-01

Abstract

We study the dependence of 4D SU(N) gauge theories on the topological θ term at finite temperature T. We exploit the lattice formulation of the theory, presenting numerical results for the expansion of the free energy up to O(θ^6), for N=3 and N=6. Our analysis shows that the θ dependence drastically changes across the deconfinement transition: the low-T phase is characterized by a large-N scaling with θ/N as relevant variable, while in the high-T phase the scaling variable is just θ and the free energy is essentially determined by the instanton-gas approximation.
2013
Bonati, Claudio; D'Elia, Massimo; Panagopoulos, H; Vicari, Ettore
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/235138
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