The Discrete $Z_{2N_c}$ Symmetry And Effective Superpotential In SUSY Gluodynamics

Abstract

We find an expression for the effective superpotential describing the $N_c$ vacua of $SU(N_c)$ SUSY gluodynamics. The superpotential reduces in some approximation to the Veneziano-Yankielowicz expression amended by the term restoring the discrete $Z_{2N_c}$ symmetry. Moreover, the superpotential, being restricted to one particular vacuum state, yields the expression which was derived recently to describe all the lowest-spin physical states of the theory. The corresponding scalar potential has no cusp singularities and can be used to study the domain walls interpolating between the chirally asymmetric vacua of the model.

22 pages, LaTex file

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• Vacuum Structure and the Axion Walls in Gluodynamics and QCD with Light Quarks
• Exact Results in Gauge Theories: Putting Supersymmetry to Work. The 1999 Sakurai Prize Lecture
• Extending the Veneziano-Yankielowicz Effective Theory
• Advances and applications of lattice supersymmetry
• Brane Configurations of BPS Domain Walls for the N=1^* SU(N) Gauge Theory
• Intersecting domain walls in MQCD
• BPS Domain Walls in super Yang-Mills and Landau-Ginzburg models
• N=1 Super Yang-Mills Domain Walls via The Extended Veneziano Yankielowicz Theory
• Hidden Modulus in the Extended Veneziano-Yankielowicz Theory