Spectral correlations of the massive QCD Dirac operator at finite temperature

Abstract

We use the graded eigenvalue method, a variant of the supersymmetry technique, to compute the universal spectral correlations of the QCD Dirac operator in the presence of massive dynamical quarks. The calculation is done for the chiral Gaussian unitary ensemble of random matrix theory with an arbitrary Hermitian matrix added to the Dirac matrix. This case is of interest for schematic models of QCD at finite temperature.

19 pages, no figures, LaTeX (elsart.cls) minor changes, one reference added

References in corpus (14)

• From chiral Random Matrix Theory to chiral Perturbation Theory
• Smallest Dirac Eigenvalue Distribution from Random Matrix Theory
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• Thouless Energy and Correlations of QCD Dirac Eigenvalues
• The microscopic spectrum of the QCD Dirac operator with finite quark masses
• Chiral Disorder in QCD
• Thouless Energy and Correlations of QCD Dirac Eigenvalues
• Microscopic Spectral Density of the Dirac Operator in Quenched QCD
• Microscopic universality with dynamical fermions
• Consistency Conditions for Finite-Volume Partition Functions
• Crossover to Non-universal Microscopic Spectral Fluctuations in Lattice Gauge Theory
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Cited by in corpus (14)

• Random Matrix Theory and Chiral Symmetry in QCD
• Factorization of Correlation Functions and the Replica Limit of the Toda Lattice Equation
• Replica Limit of the Toda Lattice Equation
• Matrix Models and QCD with Chemical Potential
• On statistics of bi-orthogonal eigenvectors in real and complex Ginibre ensembles: combining partial Schur decomposition with supersymmetry
• Derivation of determinantal structures for random matrix ensembles in a new way
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• A new approach to derive Pfaffian structures for random matrix ensembles
• Microscopic Spectrum of the QCD Dirac Operator in Three Dimensions
• Microscopic Universality and the Chiral Phase Transition in two Flavor QCD
• Spectral Universality of Real Chiral Random Matrix Ensembles
• On characteristic polynomials for a generalized chiral random matrix ensemble with a source
• Averages of products and ratios of characteristic polynomials in polynomial ensembles
• Universal microscopic spectrum of the unquenched QCD Dirac operator at finite temperature