Abstract
We present the QCD simulation of the first gauge ensemble of two degenerate light quarks, a strange and a charm quark with all quark masses tuned to their physical values within the twisted mass fermion formulation. Results for the pseudoscalar masses and decay constants confirm that the produced ensemble is indeed at the physical parameters of the theory. This conclusion is corroborated by a complementary analysis in the baryon sector. We examine cutoff and isospin breaking effects and demonstrate that they are suppressed through the presence of a clover term in the action.
Highlights
Simulations of Quantum Chromodynamics directly with physical quark masses, large enough volume and small enough lattice spacing have become feasible due to significant algorithmic improvements and availability of substantial computational resources
We present the QCD simulation of the first gauge ensemble of two degenerate light quarks, a strange and a charm quark with all quark masses tuned to their physical values within the twisted mass fermion formulation
By having a lattice spacing of a 1⁄4 0.08029ð41Þ fm, we find that the simulations are stable when performed with physical values of the quark mass parameters
Summary
Simulations of Quantum Chromodynamics directly with physical quark masses, large enough volume and small enough lattice spacing have become feasible due to significant algorithmic improvements and availability of substantial computational resources. Within the twisted mass formulation [1,2,3], the European Twisted Mass Collaboration (ETMC) has carried out simulations directly at the physical value of the pion mass [4,5] with Nf 1⁄4 2 mass-degenerate up and down quarks at a lattice spacing of a 1⁄4 0.0913ð2Þ fm This is a remarkable result, since explicit isospin breaking effects associated with twisted mass fermions can make physical point simulations. VI we summarize the different determination of lattice spacing via gluonic, mesonic and baryonic observables and conclude
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