Lattice QCD with mismatched Fermi surfaces

Abstract

We study two flavor fermions with mismatched chemical potentials in quenched lattice QCD. We first consider a large isospin chemical potential, where a charged pion is condensed, and then introduce a small mismatch between the chemical potentials of the up quark and the anti-down quark. We find that the homogeneous pion condensate is destroyed by the mismatch of the chemical potentials. We also find that the two-point correlation function shows spatial oscillation, which indicates an inhomogeneous ground state, although it is not massless but massive in the present simulation setup.

References in corpus (4)

• Color superconductivity in dense quark matter
• Ultra-cold Polarized Fermi Gases
• Ginzburg-Landau phase diagram of QCD near chiral critical point - chiral defect lattice and solitonic pion condensate -
• Fate of chiral critical point under the strong isospin asymmetry

Cited by in corpus (5)

• Anomaly-Induced Inhomogeneous Phase in Quark Matter without the Sign Problem
• Chiral soliton lattice in QCD-like theories
• Electromagnetic signals from bare strange stars
• Stressed Cooper pairing in QCD at high isospin density: effective Lagrangian and random matrix theory
• Inhomogeneous Polyakov loop induced by inhomogeneous chiral condensates