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Domain Walls in Supersymmetric Yang-Mills Theories
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abstract
We present a detailed analysis of the domain walls in supersymmetric gluodynamics and SQCD. We use the (corrected) Veneziano-Yankielowicz effective Lagrangians to explicitely obtain the wall profiles and check recent results of Dvali and Shifman (Phys. Lett. B396, (1997) 64: (i) the BPS-saturated nature of the walls; (ii) the exact expressions for the wall energy density which depend only on global features of dynamics (the existence of a non-trivial central extension of N=1 superalgebra in the theories which admit wall-like solutions). If supersymmetry is softly broken by the gluino mass, the degeneracy of the distinct vacua is gone, and one can consider the decay rate of the "false" vacuum into the genuine one. We do this calculation in the limit of the small gluino mass. Finally, we comment on the controversy regarding the existence of $N$ distinct chirally asymmetric vacua in SU(N) SUSY gluodynamics.
Forward citations
Cited by 2 Pith papers
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Degenerate Domain Walls in Supersymmetric Theories
In supersymmetric QCD with any number of flavors, the number of degenerate k-domain walls is exactly N!/((N-k)!k!), split into locally distinguishable and topologically distinct classes.
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Dynamics of ($Z_N$) Domain Walls in SU(N) Gauge Theories
Numerical simulations of Z_3 and Z_4 domain-wall collisions show vortex-antivortex creation mediating mergers in SU(3) and energy-dependent outcomes in SU(4), establishing a dynamical role for topological strings.
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