Microscopic eigenvalue correlations in QCD with imaginary isospin chemical potential

Abstract

We consider the chiral limit of QCD subjected to an imaginary isospin chemical potential. In the epsilon-regime of the theory we can perform precise analytical calculations based on the zero-momentum Goldstone modes in the low-energy effective theory. We present results for the spectral correlation functions of the associated Dirac operators.

13 pages, 2 figures, RevTeX

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Cited by in corpus (25)

• Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings
• Matrix Models and QCD with Chemical Potential
• A new Chiral Two-Matrix Theory for Dirac Spectra with Imaginary Chemical Potential
• Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential
• Parameters of the lowest order chiral Lagrangian from fermion eigenvalues
• Are Bosonic Replicas Faulty?
• Strings at Finite Temperature: Wilson Lines, Free Energies, and the Thermal Landscape
• QCD with Bosonic Quarks at Nonzero Chemical Potential
• Finite Volume Scaling of Pseudo Nambu-Goldstone Bosons in QCD
• New Ways to Determine Low-Energy Constants with Wilson Fermions
• Finite size scaling of meson propagators with isospin chemical potential
• Staggered chiral random matrix theory
• Finite-volume Correction to the Pion Decay Constant in the Epsilon-Regime
• Geometry dependence of RMT-based methods to extract the low-energy constants Sigma and F
• Individual Eigenvalue Distributions of Chiral Random Two-Matrix Theory and the Determination of F_pi
• Handbook Article on Applications of Random Matrix Theory to QCD
• Chiral Random Matrix Theory and Chiral Perturbation Theory
• Lessons from Random Matrix Theory for QCD at Finite Density
• Universality crossover between chiral random matrix ensembles and twisted SU(2) lattice Dirac spectra
• Universality and critical behavior in the chiral two-matrix model
• The complete lowest order chiral Lagrangian from a little box
• Universal Distribution of Would-be Topological Zero Modes in Coupled Chiral Systems
• On the Phase Diagram of QCD with Small Isospin Chemical Potential
• The gradient flow of the Dirac spectrum
• The k-th Smallest Dirac Operator Eigenvalue and the Pion Decay Constant