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SOFTLY BROKEN N = 2 QCD

1996/04/01 by Luis Álvarez-Gaumé, Luis Alvarez-Gaume, Jacques Distler +3 · 2 citations
Computer Science · Engineering · Physics and Astronomy · #Advanced Graph Theory Research #Mathematical physics #Optimization and Packing Problems #Particle physics #Physics #Quantum chromodynamics #Quantum electrodynamics #Theoretical physics #hep-th #semigroups and automata theory

paper · pdf · doi:10.1142/s0217751x96002170

published as Int.J.Mod.Phys.A11:4745-4777,1996 · 40 pages, LaTeX, 13 figures, uses epsf.sty

arxiv created 1996/04/01 · openalex publication_date 1996/10/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We analyze the possible soft breaking of (N = 2)-supersymmetric Yang–Mills theory with and without matter flavor preserving the analyticity properties of the Seiberg–Witten solution. For a small supersymmetry-breaking parameter with respect to the dynamical scale of the theory we obtain an exact expression for the effective potential. We describe in detail the onset of the confinement transition and some of the patterns of chiral symmetry breaking. If we extrapolate the results to the limit where supersymmetry decouples, we obtain hints indicating that perhaps a description of the QCD vacuum will require the use of Lagrangians containing simultaneously mutually nonlocal degrees of freedom (monopoles and dyons).

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