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SU(2) Yang-Mills theory with extended supersymmetry in a background magnetic field

1998/07/31 by D. G. C. McKeon, Ivo Sachs, I. Sachs +1 · 5 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Coupling (piping) #Coupling constant #Gauge theory #Instanton #Magnetic monopole #Mathematical analysis #Mathematical physics #Mathematics #Maxima and minima #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar potential #Supersymmetry #Theoretical physics #Yang–Mills theory #hep-th

paper · pdf · doi:10.1103/physrevd.59.105010

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 59(10) (American Physical Society) · 15 pages, Revtex, 3 figures, References added, section two shortened, some minor remarks and corrections added

arxiv created 1998/08/14 · openalex publication_date 1999/04/19 · openalex created_date 2016/06/24 · arxiv updated 2016/08/24 · openalex updated_date 2026/08/05

Abstract

The vacuum structure of N=2 (and N=4) supersymmetric 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 description. 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 theory and the dual description leads to a self-consistent effective potential over the full range of background fields.

Citations