Lattice Spacing Dependence of the First Order Phase Transition for Dynamical Twisted Mass Fermions

Abstract

Lattice QCD with Wilson fermions generically shows the phenomenon of a first order phase transition. We study the phase structure of lattice QCD using Wilson twisted mass fermions and the Wilson plaquette gauge action are used in a range of beta values where such a first order phase transition is observed. In particular, we investigate the dependence of the first order phase transition on the value of the lattice spacing. Using only data in one phase and neglecting possible problems arising from the phase transition we are able to perform a first scaling test for physical quantities using this action.

arXiv comment15 pages, 7 figures, typo corrected, web-list of authors corrected

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• Twisted mass lattice QCD
• Simulating twisted mass fermions at physical light, strange and charm quark masses
• First Physics Results at the Physical Pion Mass from $N_f=2$ Wilson Twisted Mass Fermions at Maximal Twist
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• Meson masses and decay constants from unquenched lattice QCD
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• Discretization errors in the spectrum of the Hermitian Wilson-Dirac operator
• O(a^2) cutoff effects in lattice Wilson fermion simulations
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• Numerical simulations with two flavours of twisted-mass Wilson quarks and DBW2 gauge action
• Determination of Low-Energy Constants of Wilson Chiral Perturbation Theory
• Parton Distribution Functions with Twisted Mass Fermions
• Spectral Properties of the Wilson Dirac Operator and random matrix 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
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• Applications of Chiral Perturbation theory to lattice QCD
• Spectral density of the Hermitean Wilson Dirac operator: a NLO computation in chiral perturbation theory
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• Kondo effect with Wilson fermions
• Nf=2 Lattice QCD and Chiral Perturbation Theory
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• Chiral perturbation theory for twisted mass QCD at small quark mass
• Exploring the Aoki regime