Quark mass and chiral condensate from the Wilson twisted mass lattice quark propagator

Abstract

In this work, we report about the determination of nonperturbative OPE parameters from fits of continuum perturbation theory to the Landau gauge quark propagator. The propagators are computed numerically using lattice QCD with Nf=2 dynamical Wilson twisted mass fermions. We use four different values of the lattice spacing ranging from about 0.1 fm to about 0.05 fm as well as several quark masses per lattice spacing. This allows us to obtain continuum results for the chiral condensate and the average up/down quark mass. The main results are the average up/down quark mass m_q = 3.0(4)(2) MeV at the physical point and a value of the chiral condensate of -(299(26)(29) MeV)^3 in the chiral limit, both in the MSbar scheme at 2 GeV. We have also studied nonperturbative contaminations of our results at small values of the momenta, which are often interpreted as the contribution of the gluon condensate A^2. We do see contributions from such terms, which are, however, not stable over the order in perturbation theory.

22 pages, 10 figures

References in corpus (4)

• The strange quark mass and Lambda parameter of two flavor QCD
• Twisted mass lattice QCD
• Lattice QCD with two light Wilson quarks and maximally twisted mass
• Renormalisation of quark propagators from twisted-mass lattice QCD at $N_f$=2

Cited by in corpus (14)

• FLAG Review 2019
• FLAG Review 2021
• Explanation and Prediction of Observables using Continuum Strong QCD
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• Determination of the quark condensate from heavy-light current-current correlators in full lattice QCD
• Quark chiral condensate from the overlap quark propagator
• Overlap quark propagator near the physical pion mass
• Factorization breaking of four-quark condensates in the Nambu Jona Lasinio model
• Numerical indication that center vortices drive dynamical mass generation in QCD
• QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker)
• Phase structures of neutral dense quark matter and application to strange stars
• Impact of Dynamical Charm Quark and Mixed Action Effect on Light Hadron Masses and Decay Constants