Non-perturbative renormalization of bilinear operators with dynamical overlap fermions

Abstract

Using the non-perturbative renormalization technique, we calculate the renormalization factors for quark bilinear operators made of overlap fermions on the lattice. The background gauge field is generated by the JLQCD and TWQCD collaborations including dynamical effects of two or 2+1 flavors of light quarks on a 16${}^3\times$32 or 16${}^3\times$48 lattice at lattice spacing around 0.1 fm. By reducing the quark mass close to the chiral limit, where the finite volume system enters the so-called $\epsilon$-regime, the unwanted effect of spontaneous chiral symmetry breaking on the renormalization factors is suppressed. On the lattices in the conventional $p$-regime, this effect is precisely subtracted by separately calculating the contributions from the chiral condensate.

36 pages, 41 figure files

References in corpus (9)

• Finite volume QCD at fixed topological charge
• Non-perturbative renormalization of quark bilinear operators and B_K using domain wall fermions
• Lattice gauge action suppressing near-zero modes of H_W
• Two-flavor lattice QCD simulation in the epsilon-regime with exact chiral symmetry
• Two-flavor QCD simulation with exact chiral symmetry
• Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry
• The Chiral Condensate in a Finite Volume
• Lattice study of meson correlators in the epsilon-regime of two-flavor QCD
• Hadron spectrum, quark masses and decay constants from light overlap fermions on large lattices

Cited by in corpus (11)

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• Nucleon charges with dynamical overlap fermions
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• Determination of the chiral condensate from QCD Dirac spectrum on the lattice
• Two-photon decay of the neutral pion in lattice QCD
• A Numerical Study of the 2-Flavour Schwinger Model with Dynamical Overlap Hypercube Fermions
• Partial restoration of chiral symmetry in the color flux tube
• Non-perturbative renormalization in lattice QCD
• Spontaneous chiral symmetry breaking on the lattice
• Lattice QCD study of partial restoration of chiral symmetry in the flux-tube
• Partial restoration of chiral symmetry inside hadrons