Domain Walls in Supersymmetric Yang-Mills Theories

Abstract

We study BPS saturated domain walls in the supersymmetric SU(2) gauge theory. For a theory with a very light adjoint scalar (mass <~ Lambda/400) we use the perturbed N=2 Seiberg-Witten theory to calculate the actual field configuration of the domain wall. The wall has a sandwich-like five-layer structure of three distinct phases -- electric confinement, Coulomb and oblique confinement -- separated by two separate transition regions. For larger scalar masses, the three-phase structure disappears and the Seiberg-Witten theory becomes inadequate because of two major problems: First, the higher-derivative interactions between the light fields become relevant and second, both the magnetic monopole condensate and the dyon condensate show up in the same region of space, a phenomenon indescribable in terms of a local field theory. Nevertheless, we argue that the BPS saturated domain wall continues to exist in this regime and give a qualitative description of the scalar and gaugino condensates. Finally, we discuss the domain walls in MQCD and translate the BPS conditions into coupled non-linear differential equations.

55 pages; plain TeX; source split into 50 files including all macros and 1 eps figure

References in corpus (14)

• Solutions Of Four-Dimensional Field Theories Via M Theory
• Branes And The Dynamics Of QCD
• Domain Walls in Supersymmetric Yang-Mills Theories
• Degenerate Domain Wall Solutions in Supersymmetric Theories
• Chirally Symmetric Phase of Supersymmetric Gluodynamics
• Comments on the M Theory Approach to N=1 SQCD and Brane Dynamics
• Complex BPS domain walls and phase transition in mass in supersymmetric QCD
• More on Supersymmetric Domain Walls, N Counting and Glued Potentials
• Domain Walls Zoo in Supersymmetric QCD
• Complete Wetting in Supersymmetric QCD or Why QCD Strings Can End on Domain Walls
• BPS and non-BPS Domain Walls in Supersymmetric QCD with SU(3) Gauge Group
• On the cosmological domain wall problem in supersymmetric models
• Degeneracy and Continuous Deformations of Supersymmetric Domain Walls
• Non-Abelian Bosonization and Haldane's Conjecture

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