Finite Volume Scaling of Pseudo Nambu-Goldstone Bosons in QCD

Abstract

We consider chiral perturbation theory in a finite volume and in a mixed regime of quark masses. We take N_l light quarks near the chiral limit, in the so-called epsilon-regime, while the remaining N_h quarks are heavier and in the standard p-regime. We compute in this new mixed regime the finite-size scaling of the light meson correlators in the scalar, pseudoscalar, vector and axial vector channels.Using the replica method, we easily extend our results to the partially quenched theory. With the help of our results, lattice QCD simulations with 2+1 flavors can safely investigate pion physics with very light up and down quark masses even in the region where the pion's correlation length overcomes the size of the space-time lattice.

32 pages, 6 figures, published version

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Cited by in corpus (12)

• FLAG Review 2019
• Review of lattice results concerning low energy particle physics
• The Chiral Condensate in a Finite Volume
• The epsilon regime with Wilson fermions
• 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
• Heavy-light mesons in the epsilon-regime
• Interpolation between the epsilon and p regimes
• Chiral Random Matrix Theory and Chiral Perturbation Theory
• Topology and chiral random matrix theory at nonzero imaginary chemical potential
• Partially quenched chiral perturbation theory in the epsilon regime at next-to-leading order
• Extracting the electro-magnetic pion form factor from QCD in a finite volume