Phase Transitions in Softly Broken N=2 SQCD at Non-zero Theta Angle

Abstract

We investigate the behavior of softly broken $N=2$ SQCD at non-zero bare theta angle ${\theta }_0$, using superfield spurions to implement the SUSY breaking. We find a first-order phase transition as ${\theta }_0$ is varied from zero to $2\pi$, in agreement with a prediction of `t Hooft. The low-energy theta angle ${\theta }_{eff}$, which determines the effective charges of dyonic excitations, has a complicated dependence on ${\theta }_0$ and breaking parameters.

18 pages, LaTeX, 10 epsf figures

References in corpus (5)

• Instantons and recursion relations in N=2 Susy gauge theory
• Quark Masses and Chiral Symmetry
• Exact Results in Softly Broken Supersymmetric Models
• Exact Results And Soft Breaking Masses In Supersymmetric Gauge Theory
• Theta Vacua, Confinement and the Continuum Limit

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