2+1 Flavor QCD simulated in the epsilon-regime in different topological sectors

Abstract

We generated configurations with the parametrized fixed-point Dirac operator D_{FP} on a (1.6 fm)^4 box at a lattice spacing a=0.13 fm. We compare the distributions of the three lowest k=1,2,3 eigenvalues in the nu= 0,1,2 topological sectors with that of the Random Matrix Theory predictions. The ratios of expectation values of the lowest eigenvalues and the cumulative eigenvalue distributions are studied for all combinations of k and nu. After including the finite size correction from one-loop chiral perturbation theory we obtained for the chiral condensate in the MSbar scheme Sigma(2GeV)^{1/3}=0.239(11) GeV, where the error is statistical only.

19 pages, 13 figures, added Sigma in MSbar

References in corpus (4)

• Non-perturbative renormalization of quark bilinear operators and B_K using domain wall fermions
• Two-flavor lattice QCD simulation in the epsilon-regime with exact chiral symmetry
• Quark condensate in two-flavor QCD
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Cited by in corpus (9)

• FLAG Review 2019
• Review of lattice results concerning low energy particle physics
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• Probing the chiral regime of Nf=2 QCD with mixed actions
• Computation of the electromagnetic pion form factor from lattice QCD in the epsilon regime
• Interpolation between the epsilon and p regimes
• The epsilon regime with twisted mass Wilson fermions
• Machine learning a fixed point action for SU(3) gauge theory with a gauge equivariant convolutional neural network