Phase Diagram of Dynamical Twisted Mass Wilson Fermions at Finite Isospin Chemical Potential

Abstract

We consider the phase diagram of twisted mass Wilson fermions of two-flavor QCD in the parameter space of the quark mass, the isospin chemical potential, the twist angle and the lattice spacing. This work extends earlier studies in the continuum and those at zero chemical potential. We evaluate the phase diagram as well as the spectrum of the (pseudo-)Goldstone bosons using the chiral Lagrangian for twisted mass Wilson fermions at non-zero isospin chemical potential. The phases are obtained from a mean field analysis. At zero twist angle we find that already an infinitesimal isospin chemical potential destroys the Aoki phase. The reason is that in this phase we have massless Goldstone bosons with a non-zero isospin charge. At finite twist angle only two different phases are present, one phase which is continuously connected to the Bose condensed phase at non-zero chemical potential and another phase which is continuously connected to the normal phase. For either zero or maximal twist the phase diagram is more complicated as the saddle point equations allow for more solutions.

39 pages, 8 figures

References in corpus (18)

• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• Twisted mass lattice QCD
• Phase of the Fermion Determinant at Nonzero Chemical Potential
• The QCD Sign Problem for Small Chemical Potential
• Discretization errors in the spectrum of the Hermitian Wilson-Dirac operator
• The Approach to the Thermodynamic Limit in Lattice QCD at μ\neq0
• The epsilon regime with Wilson fermions
• Observations on the Wilson fermions in the epsilon regime
• Dirac Spectrum of the Wilson Dirac Operator for QCD with Two Colors
• The Sign Problem via Imaginary Chemical Potential
• Phase diagram of non-degenerate twisted mass fermions
• Renormalization of quark propagator, vertex functions and twist-2 operators from twisted-mass lattice QCD at $N_f$=4
• Impact of electromagnetism on phase structure for Wilson and twisted-mass fermions including isospin breaking
• Phase structure with nonzero ${\Theta }_{\mathrm{QCD}}$ and twisted mass fermions
• Discretization effects in $N_c=2$ QCD and Random Matrix Theory
• Random Matrix Models for the Hermitian Wilson-Dirac operator of QCD-like theories
• Phase Diagram of Wilson and Twisted Mass Fermions at finite isospin chemical potential
• Phase diagram of non-degenerate Wilson and twisted mass fermions

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• Two-flavor chiral perturbation theory at nonzero isospin: Pion condensation at zero temperature
• QCD at finite isospin density: chiral perturbation theory confronts lattice data
• Cold QCD at finite isospin density: confronting effective models with recent lattice data
• Pion crystals hosting topologically stable baryons
• Lattice study of static quark-antiquark interactions in dense quark matter
• High-Energy Phase Diagrams with Charge and Isospin Axes under Heavy-Ion Collision and Stellar Conditions
• Hot QCD at finite isospin density: confronting SU(3) Nambu-Jona-Lasinio model with recent lattice data
• Pion and kaon condensation at zero temperature in three-flavor $\chi$PT at nonzero isospin and strange chemical potentials at next-to-leading order
• QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case
• Pion condensation in a soft-wall AdS/QCD model
• Kondo effect with Wilson fermions
• Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models
• Symmetry Crossover Protecting Chirality in Dirac Spectra
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