Nonhermitian Supersymmetric Partition Functions: the case of one bosonic flavor

Abstract

We discuss the supersymmetric formulation of the nonhermitian $\beta =2$ random matrix partition function with one bosonic flavor. This partition function is regularized by adding one conjugate boson and fermion each. A supersymmetric nonlinear $\sigma$-model for the resulting Goldstone degrees of freedom is obtained using symmetry arguments only. For a Gaussian probability distribution the same results are derived using superbosonization and the complex orthogonal polynomial method. The symmetry arguments apply to any model with the same symmetries and a mass gap, and demonstrate the universality of the nonlinear $\sigma$-model.

17 pages, 0 figures. Section II extended. Version to appear in Nucl.Phys.B

References in corpus (5)

• Arbitrary Rotation Invariant Random Matrix Ensembles and Supersymmetry
• Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential
• Bosonization for disordered and chaotic systems
• Superbosonization formula and its application to random matrix theory
• QCD with Bosonic Quarks at Nonzero Chemical Potential

Cited by in corpus (1)

• Handbook Article on Applications of Random Matrix Theory to QCD