Odd-flavored QCD_3 and Random Matrix Theory

Abstract

We consider QCD_3 with an odd number of flavors in the mesoscopic scaling region where the field theory finite-volume partition function is equivalent to a random matrix theory partition function. We argue that the theory is parity invariant at the classical level if an odd number of masses are zero. By introducing so-called pseudo-orthogonal polynomials we are able to relate the kernel to the kernel of the chiral unitary ensemble in the sector of topological charge $\nu =1/2$. We prove universality and are able to write the kernel in the microscopic limit in terms of field theory finite-volume partition functions.

12 pages, Latex2e, 1 figure. Misprints corrected, minor changes in wording, one reference changed

References in corpus (6)

• The Microscopic Spectral Density of the QCD Dirac Operator
• From chiral Random Matrix Theory to chiral Perturbation Theory
• Universal Spectral Correlators and Massive Dirac Operators
• Dirac Operator Spectra from Finite-Volume Partition Functions
• Microscopic Spectra of Dirac Operators and Finite-Volume Partition Functions
• Characterization of Universal Behavior in QCD Dirac Spectra

Cited by in corpus (15)

• Random Matrix Theory and Chiral Symmetry in QCD
• The Spectral Density of the QCD Dirac Operator and Patterns of Chiral Symmetry Breaking
• A new Chiral Two-Matrix Theory for Dirac Spectra with Imaginary Chemical Potential
• Microscopic correlations of non-Hermitian Dirac operators in three-dimensional QCD
• QCD3 and the Replica Method
• Microscopic Spectrum of the QCD Dirac Operator in Three Dimensions
• On Finite-Volume Gauge Theory Partition Functions
• The orthogonal ensemble of random matrices and QCD in three dimensions
• Three-dimensional QCD in the adjoint representation and random matrix theory
• Logarithmic Universality in Random Matrix Theory
• Massive random matrix ensembles at beta = 1 & 4 : QCD in three dimensions
• Random matrix model for QCD_3 staggered fermions
• The Replica Method and Toda Lattice Equations for QCD_3
• Finite Volume Gauge Theory Partition Functions in Three Dimensions
• Random matrix approach to three-dimensional QCD with a Chern-Simons term