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SU(2) Yang-Mills Theory with extended Supersymmetry in a Background Magnetic Field

The vacuum structure of N=2 (and N=4) SUSY Yang-Mills theory is analyzed in detail by considering the effective potential for constant background scalar- magnetic fields within different approximations. We compare the one-loop approximation with- or without instanton improved effective coupling with the one-loop result in the dual desription. For N=2 we find that non-perturbative monopole degrees of freedom remove the non-trivial minima present in the (improved) one-loop potential in the strong-coupling regime. The combination of Yang-Mills and dual desription leads to a self-consistent effective potential over the full range of background fields.

preprint1998arXivOpen access
D. G. C. McKeonI. SachsI. A. Shovkovy
hep-th
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D. G. C. McKeonI. SachsI. A. Shovkovy

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