Finite size effect on pseudoscalar meson sector in 2+1 flavor QCD at the physical point

Abstract

We investigate the finite size effect on pseudoscalar meson masses and decay constants using a subset of the "PACS10" configurations which are generated keeping the space-time volumes over (10 fm${)}^4$ in 2+1 flavor QCD at the physical point. We have tried two kinds of analyses, fixing $\kappa$ values or measured axial Ward identity quark masses. Comparing the results on (5.4 fm${)}^4$ and (10.8 fm${)}^4$ lattices, we have found a sizable finite size effect on the pseudoscalar meson sector in the former analysis: a 2.1(8)%, 4.8(1.6)%, and 0.36(31)% finite size effect on $m_{\pi }$, $m_{\mathrm{ud}}$, and $f_{\pi }$, respectively, on the (5.4 fm${)}^4$ lattice. For the latter analysis, the finite size effect on the pseudoscalar meson decay constants is 0.66(33)% for $f_{\pi }$, 0.26(13)% for $f_K$, and 0.40(32)% for $f_K/f_{\pi }$. These values with two-sigma error bars are consistent with the predictions from the full one-loop SU(3) chiral perturbation theory, which are 0.20% for $f_{\pi }$, 0.08% for $f_K$, and 0.13% for $f_K/f_{\pi }$. The finite size effect on the pseudoscalar meson masses is hardly detected under the current statistical precision.

7 pages, 10 figures, published version

References in corpus (6)

• Accelerating Dynamical Fermion Computations using the Rational Hybrid Monte Carlo (RHMC) Algorithm with Multiple Pseudofermion Fields
• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• Reweighting towards the chiral limit
• Nucleon form factors on a large volume lattice near the physical point in 2+1 flavor QCD
• Stochastic locality and master-field simulations of very large lattices
• Utility of geometry in lattice QCD simulations

Cited by in corpus (7)

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• $K_{l3}$ form factors at the physical point on (10.9 fm)${}^3$ volume
• $K_{\ell 3}$ form factors at the physical point: Toward the continuum limit
• Finite size effect on vector meson and baryon sectors in 2+1 flavor QCD at the physical point
• Method for high-precision determination of the nucleon axial structure using lattice QCD: Removing $\pi N$-state contamination
• Nucleon isovector tensor charge from lattice QCD with physical light quarks