Nonhermitian Supersymmetric Partition Functions: the case of one bosonic flavor
arXiv:0802.2660 · doi:10.1016/j.nuclphysb.2008.06.003
Abstract
We discuss the supersymmetric formulation of the nonhermitian random matrix partition function with one bosonic flavor. This partition function is regularized by adding one conjugate boson and fermion each. A supersymmetric nonlinear -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 -model.
arXiv comment17 pages, 0 figures. Section II extended. Version to appear in Nucl.Phys.B
References in corpus (30)
- Random Matrix Theories in Quantum Physics: Common Concepts
- Riemannian symmetric superspaces and their origin in random matrix theory
- Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering for systems with broken time reversal invariance
- QCD-like Theories at Finite Baryon Density
- Non-Hermitean Random Matrix Theory: method of hermitization
- Universal results from an alternate random matrix model for QCD with a baryon chemical potential
- Almost-Hermitian Random Matrices: Crossover from Wigner-Dyson to Ginibre eigenvalue statistics
- Directed Quantum Chaos
- Random Matrices close to Hermitian or unitary: overview of methods and results
- Symmetry classes of disordered fermions
- Almost-Hermitian Random Matrices: Eigenvalue Density in the Complex Plane
- Laughlin's wave functions, Coulomb gases and expansions of the discriminant
- Factorization of Correlation Functions and the Replica Limit of the Toda Lattice Equation
- Unquenched QCD Dirac Operator Spectra at Nonzero Baryon Chemical Potential
- Negative moments of characteristic polynomials of random matrices: Ingham-Siegel integral as an alternative to Hubbard-Stratonovich transformation
- Quantum Disordered Systems with a Direction
- Universality of Random-Matrix Results for non-Gaussian Ensembles
- Replica Limit of the Toda Lattice Equation
- Effective Low Energy Theories and QCD Dirac Spectra
- Two-dimensional one-component plasma in a quadrupolar field
- 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
- Microscopic correlations of non-Hermitian Dirac operators in three-dimensional QCD
- Ratios of characteristic polynomials in complex matrix models
- Bosonization for disordered and chaotic systems
- Superbosonization formula and its application to random matrix theory
- QCD with Bosonic Quarks at Nonzero Chemical Potential
- Two-color QCD in 3D at finite baryon density
- Supersymmetry for disordered systems with interaction
- Structure of the space of ground states in systems with non-amenable symmetries