Nonhermitian supersymmetric partition functions: The case of one bosonic flavor |
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Authors: | K Splittorff JJM Verbaarschot MR Zirnbauer |
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Institution: | 1. The Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark;2. Department of Physics and Astronomy, SUNY, Stony Brook, NY 11794, USA;3. Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, 50937 Köln, Germany |
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Abstract: | We discuss the supersymmetric formulation of the nonhermitian β=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 σ-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 σ-model. |
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