Finite-volume Correction to the Pion Decay Constant in the Epsilon-Regime

Abstract

In the chiral limit of QCD, the pion decay constant F can be extracted from lattice gauge theory by means of a coupling to isospin chemical potential. Here we compute the leading correction due to finite volume in the epsilon-expansion of chiral perturbation theory. A comparison is made to recent Monte Carlo data.

7 pages. Corrects an error in the published version

References in corpus (8)

• Two-flavor lattice QCD simulation in the epsilon-regime with exact chiral symmetry
• The QCD Sign Problem for Small Chemical Potential
• A new Chiral Two-Matrix Theory for Dirac Spectra with Imaginary Chemical Potential
• Parameters of the lowest order chiral Lagrangian from fermion eigenvalues
• Microscopic eigenvalue correlations in QCD with imaginary isospin chemical potential
• Extracting $F_{\pi }$ from small lattices: unquenched results
• Simulating an arbitrary number of flavors of dynamical overlap fermions
• Determining F_pi from spectral sum rules

Cited by in corpus (5)

• Lattice study of meson correlators in the epsilon-regime of two-flavor QCD
• Finite size scaling of meson propagators with isospin chemical potential
• The $\epsilon$-regime of dilaton chiral perturbation theory
• Geometry dependence of RMT-based methods to extract the low-energy constants Sigma and F
• Universal microscopic spectrum of the unquenched QCD Dirac operator at finite temperature