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Pion and nucleon in two flavour QCD with unimproved Wilson fermions. (English) Zbl 1262.81191
Summary: We calculate pion mass, pion decay constant, PCAC quark mass and nucleon mass in two flavour lattice QCD with unimproved Wilson fermion and gauge actions. Simulations are performed using DD-HMC algorithm at two lattice spacings and two volumes for several values of the quark mass. The cutoff effects in pion mass and nucleon mass for the explored region of parameter space are found to be negligible. We extract the average value of the up-down quark mass in the \(\mathbf{\overline{MS}}\) scheme at 2 GeV, which is in good agreement with the world data. The chiral behaviours of pion mass, pion decay constant and quark condensate are found to be qualitatively consistent with NLO chiral perturbation theory. The extracted values of the pion decay constant and the chiral condensate are in reasonable agreement with the world data.
MSC:
81V05 Strong interaction, including quantum chromodynamics
81T13 Yang-Mills and other gauge theories in quantum field theory
81T25 Quantum field theory on lattices
81V35 Nuclear physics
81T80 Simulation and numerical modelling (quantum field theory) (MSC2010)
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