Lattice study of meson correlators in the epsilon-regime of two-flavor QCD

Abstract

We calculate mesonic two-point functions in the epsilon-regime of two-flavor QCD on the lattice with exact chiral symmetry. We use gauge configurations of size 16^3 32 at the lattice spacing a \sim 0.11 fm generated with dynamical overlap fermions. The sea quark mass is fixed at \sim 3 MeV and the valence quark mass is varied in the range 1-4 MeV, both of which are in the epsilon-regime. We find a good consistency with the expectations from the next-to-leading order calculation in the epsilon-expansion of (partially quenched) chiral perturbation theory. From a fit we obtain the pion decay constant F=87.3(5.6) MeV and the chiral condensate Sigma^{MS}=[239.8(4.0) MeV ]^3 up to next-to-next-to-leading order contributions.

20 pages, 12 figures, final version to appear in PRD

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Cited by in corpus (16)

• FLAG Review 2021
• Chiral symmetry breaking and the Banks--Casher relation in lattice QCD with Wilson quarks
• Reweighting towards the chiral limit
• Two-flavor QCD simulation with exact chiral symmetry
• Low energy chiral constants from epsilon-regime simulations with improved Wilson fermions
• S-parameter and pseudo-Nambu-Goldstone boson mass from lattice QCD
• The epsilon regime with Wilson fermions
• Computation of the electromagnetic pion form factor from lattice QCD in the epsilon regime
• Finite size scaling of meson propagators with isospin chemical potential
• Geometry dependence of RMT-based methods to extract the low-energy constants Sigma and F
• Studying explicit $U(1{)}_A$ symmetry breaking in hot and magnetised two flavour non-local NJL model constrained using lattice results
• The role of $U(1{)}_A$ symmetry breaking in the QCD corrections to the pion mass difference
• Strongly interacting matter in extreme magnetic fields
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• Low-energy QCD and hadronic structure
• Exploring the epsilon regime with lattice Wilson fermions