On the supersymmetric partition function in QCD-inspired random matrix models
arXiv:cond-mat/0210647 · doi:10.1134/1.1587180
Abstract
We show that the expression for the supersymmetric partition function of the chiral Unitary Ensemble conjectured recently by Splittorff and Verbaarschot [Phys. Rev. Lett. v. 90, 041601 (2003)] follows from the general expression derived recently by Fyodorov and Strahov [ J. Phys. A: Math.Gen.} {\bf 36}(2003) 3203] .
This is a modified published version, with some updated references. Pis'ma v ZhETF v.77 (2003), 513 [Eng. Transl.: JETP Lett. v.77, to appear]
References in corpus (13)
- Random matrix theory and spectral sum rules for the Dirac operator in QCD
- Random Matrix Theory and Chiral Symmetry in QCD
- Universality of random matrices in the microscopic limit and the Dirac operator spectrum
- Characteristic polynomials of random matrices
- Finite volume partition functions and Itzykson-Zuber integrals
- Negative moments of characteristic polynomials of random matrices: Ingham-Siegel integral as an alternative to Hubbard-Stratonovich transformation
- An exact formula for general spectral correlation function of random Hermitian matrices
- Replica Limit of the Toda Lattice Equation
- Replica field theories, Painleve transcendents, and exact correlation functions
- An Itzykson-Zuber-like Integral and Diffusion for Complex Ordinary and Supermatrices
- Dirac spectrum in QCD and Quark Masses
- On correlation functions of characteristic polynomials for chiral Gaussian Unitary Ensemble
- The Replica Limit of Unitary Matrix Integrals
Cited by in corpus (36)
- Factorization of Correlation Functions and the Replica Limit of the Toda Lattice Equation
- Unquenched QCD Dirac Operator Spectra at Nonzero Baryon Chemical Potential
- Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings
- On statistics of bi-orthogonal eigenvectors in real and complex Ginibre ensembles: combining partial Schur decomposition with supersymmetry
- Distributions of Dirac Operator Eigenvalues
- The Chiral Condensate in a Finite Volume
- Lattice study of meson correlators in the epsilon-regime of two-flavor QCD
- Random Matrix Theory for the Hermitian Wilson Dirac Operator and the chGUE-GUE Transition
- Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential
- Poisson Statistics for the Largest Eigenvalues in Random Matrix Ensemble
- On absolute moments of characteristic polynomials of a certain class of complex random matrices
- The Wilson Dirac Spectrum for QCD with Dynamical Quarks
- Probing the chiral regime of Nf=2 QCD with mixed actions
- Microscopic eigenvalue correlations in QCD with imaginary isospin chemical potential
- Chiral perturbation theory in a theta vacuum
- Universal random matrix correlations of ratios of characteristic polynomials at the spectral edges
- Spectral Properties of the Wilson Dirac Operator and random matrix theory
- QCD with Bosonic Quarks at Nonzero Chemical Potential
- Supersymmetric Quenching of the Toda Lattice Equation
- On matrix model partition functions for QCD with chemical potential
- The Microscopic Twisted Mass Dirac Spectrum
- Heavy-light mesons in the epsilon-regime
- Staggered chiral random matrix theory
- Partially quenched chiral perturbation theory in the epsilon-regime
- On characteristic polynomials for a generalized chiral random matrix ensemble with a source
- Distribution of the local density of states, reflection coefficient and Wigner delay time in absorbing ergodic systems at the point of chiral symmetry
- The -regime of dilaton chiral perturbation theory
- Interpolation between the epsilon and p regimes
- Finite-size scaling for the left-current correlator with non-degenerate quark masses
- Chiral Random Matrix Theory and Chiral Perturbation Theory
- Supersymmetry Method for Chiral Random Matrix Theory with Arbitrary Rotation Invariant Weights
- On the Largest Singular Values of Random Matrices with Independent Cauchy Entries
- The Replica Method and Toda Lattice Equations for QCD_3
- Surprising Pfaffian factorizations in Random Matrix Theory with Dyson index
- The k-th Smallest Dirac Operator Eigenvalue and the Pion Decay Constant
- Extracting the electro-magnetic pion form factor from QCD in a finite volume