Nonhermitian Supersymmetric Partition Functions: the case of one bosonic flavor

dc.creatorSplittorff, K.
dc.creatorVerbaarschot, J. J. M.
dc.creatorZirnbauer, M. R.
dc.date2008-02-19
dc.date2008-06-10
dc.date.accessioned2026-07-07T11:56:10Z
dc.date.available2026-07-07T11:56:10Z
dc.descriptionWe 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.
dc.description17 pages, 0 figures. Section II extended. Version to appear in Nucl.Phys.B
dc.identifierhttps://arxiv.org/abs/0802.2660
dc.identifierhttp://arxiv.org/abs/0802.2660
dc.identifierNucl.Phys.B803:381-404,2008
dc.identifierdoi:10.1016/j.nuclphysb.2008.06.003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205493
dc.subjectHigh Energy Physics - Theory
dc.titleNonhermitian Supersymmetric Partition Functions: the case of one bosonic flavor
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