On the phase structure of twisted mass lattice QCD

Abstract

The introduction of a chirally twisted mass term has been proposed as an attractive approach to O(a) improvement of Quantum Chromodynamics with Wilson fermions on a lattice. For numerical simulation projects it is important to know the phase structure of the theory in the region of small quark masses. We study this question in the framework of chiral perturbation theory. Generalizing the analysis of Sharpe and Singleton we find extensions of normal and Aoki phase scenarios and a possible new phase with spontaneous breakdown of chiral symmetry to a discrete $Z_2$.

10 pages, 6 Postscript figures, LaTeX2e

References in corpus (3)

• The phase diagram of twisted mass lattice QCD
• A numerical reinvestigation of the Aoki phase with N_f=2 Wilson fermions at zero temperature
• Applying chiral perturbation to twisted mass Lattice QCD

Cited by in corpus (57)

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• Light Meson Physics from Maximally Twisted Mass Lattice QCD
• Dynamical Twisted Mass Fermions with Light Quarks
• Twisted mass lattice QCD
• On the order of the QCD chiral phase transition for different numbers of quark flavours
• Simulating twisted mass fermions at physical light, strange and charm quark masses
• Twisted mass chiral perturbation theory at next-to-leading order
• Reducing cutoff effects in maximally twisted lattice QCD close to the chiral limit
• Twisted-mass QCD, O(a) improvement and Wilson chiral perturbation theory
• The phase structure of lattice QCD with two flavours of Wilson quarks and renormalization group improved gluons
• Twisted mass quarks and the phase structure of lattice QCD
• Numerical simulation of QCD with u, d, s and c quarks in the twisted-mass Wilson formulation
• Lattice Spacing Dependence of the First Order Phase Transition for Dynamical Twisted Mass Fermions
• Strange quarks in quenched twisted mass lattice QCD
• Discretization errors in the spectrum of the Hermitian Wilson-Dirac operator
• Light quarks with twisted mass fermions
• Observations on discretization errors in twisted-mass lattice QCD
• O(a^2) cutoff effects in lattice Wilson fermion simulations
• Going chiral: overlap versus twisted mass fermions
• Observations on the Wilson fermions in the epsilon regime
• Phase Diagram of Dynamical Twisted Mass Wilson Fermions at Finite Isospin Chemical Potential
• Numerical simulations with two flavours of twisted-mass Wilson quarks and DBW2 gauge action
• Parton Distribution Functions with Twisted Mass Fermions
• Determination of Low-Energy Constants of Wilson Chiral Perturbation Theory
• Chiral logs in twisted mass lattice QCD with large isospin breaking
• Nucleon and Delta masses in twisted mass chiral perturbation theory
• Constraint on the Low Energy Constants of Wilson Chiral Perturbation Theory
• Phase structure of thermal lattice QCD with N_f=2 twisted mass Wilson fermions
• The Microscopic Twisted Mass Dirac Spectrum
• Automatic O(a) improvement for twisted-mass QCD in the presence of spontaneous symmetry breaking
• Effective potentials, thermodynamics, and twisted mass quarks
• A Possible Aoki Phase for Staggered Fermions
• QCD with two flavors of Wilson fermions: The QCD vacuum, the Aoki vacuum and other vacua
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• The epsilon regime with twisted mass Wilson fermions
• A non-perturbative mechanism for elementary particle mass generation
• Kondo effect with Wilson fermions
• Dynamical twisted mass fermions
• Remnant index theorem and low-lying eigenmodes for twisted mass fermions
• Charmless chiral perturbation theory for N_f=2+1+1 twisted mass lattice QCD
• Phase diagram of non-degenerate twisted mass fermions
• Twisted mass lattice QCD with non-degenerate quark masses
• First results with two light flavours of quarks with maximally twisted mass
• Twisted mass QCD at finite temperature
• Nf=2 Lattice QCD and Chiral Perturbation Theory
• On the phase structure of lattice QCD with twisted-mass Wilson fermions at non-zero temperature
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• Twisted mass chiral perturbation theory for 2+1+1 quark flavours
• Topics in Effective Field Theory for Lattice QCD
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• Determining the low energy parameters of Wilson Chiral Perturbation Theory
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• Wilson chiral perturbation theory for dynamical twisted mass fermions vs lattice data - a case study
• The finite-temperature phase structure of lattice QCD with twisted-mass Wilson fermions
• Chiral perturbation theory for three-flavour lattice QCD with isospin splitting