Thermal Effects on the Low Energy N=2 SUSY Yang-Mills Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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24 pages, Latex, uses axodraw

Scientific paper

10.1103/PhysRevD.60.065014

Using the low energy effective action of the N=2 supersymmetric SU(2) Yang-Mills theory we calculate the free energy at finite temperature, both in the semiclassical region and in the dual monopole/dyon theory. In all regions the free energy depends on both the temperature T and the appropriate moduli parameter, and is thus minimized only for specific values of the moduli parameter, in contrast to the T=0 case where the energy vanishes all over the moduli space. Within the validity of perturbation theory, we find that the finite temperature Yang-Mills theory is stable only at definite points in the moduli space, i.e. for a specific value of the monopole/dyon mass or when the scalar field expectation value goes to infinity.

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