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Phys Rev Lett. 2013 Jun 21;110(25):252003. Epub 2013 Jun 18.

Change of θ dependence in 4D SU(N) gauge theories across the deconfinement transition.

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  • 1Dipartimento Fisica dell'Università di Pisa and INFN, Largo Pontecorvo 3, I-56127 Pisa, Italy.


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(θ6), 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.

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