Instantons and the Chiral Phase Transition at non-zero Baryon Density

Abstract

We study an interacting ensemble of instantons at finite baryon chemical potential. We emphasize the importance of fermionic zero modes and calculate the fermion induced interaction between instantons at non-zero chemical potential. We show that unquenched simulations of the instanton ensemble are feasible in two regimes, for sufficiently small and for very large chemical potential. At very large chemical potential chiral symmetry is restored and the instanton ensemble is dominated by strongly correlated chain-like configurations.

37 pages, 10 figures, uses revtex, revised version (minor corrections and expanded dicussion)

References in corpus (1)

• Results on Finite Density QCD

Cited by in corpus (22)

• NJL-model analysis of dense quark matter
• Random Matrix Theory and Chiral Symmetry in QCD
• QCD-like Theories at Finite Baryon Density
• High Density QCD and Instantons
• Quantum Entanglement of Interacting Fermions in Monte Carlo
• Superfluidity in a Model of Massless Fermions Coupled to Scalar Bosons
• A first order transition and parity violation in a color superconductor
• Instanton Effects in QCD at High Baryon Density
• Singular values of the Dirac operator in dense QCD-like theories
• Pion production from a critical QCD phase
• The Approach to the Thermodynamic Limit in Lattice QCD at μ\neq0
• Instanton-induced crossover in dense QCD
• The Myriad Uses of Instantons
• Phase Diagram of the Dirac Spectrum at Nonzero Chemical Potential
• Topological Fluctuations in Dense Matter with Two Colors
• Universal Behavior in Dirac Spectra
• Phases of circle-compactified QCD with adjoint fermions at finite density
• Topological zero modes at nonzero chemical potential
• Chiral Disorder and QCD at Finite Chemical Potential
• Instanton fermionic zero mode at finite temperature and chemical potential
• QCD at Finite Density and Color Superconductivity
• Universal Fluctuations in Dirac Spectra