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

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

1998-07-08

arxiv.org/abs/hep-th/9807059v2

Phys.Rev. D59 (1999) 105010

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Revtex, 3 figures, References added, section two shortened, some minor remarks and corrections added

Scientific paper

10.1103/PhysRevD.59.105010

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.

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