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.

arXiv comment7 pages. Corrects an error in the published version

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Cited by in corpus (11)

• Lattice study of meson correlators in the epsilon-regime of two-flavor QCD
• Random Matrix Theory for the Hermitian Wilson Dirac Operator and the chGUE-GUE Transition
• Finite size scaling of meson propagators with isospin chemical potential
• The epsilon expansion at next-to-next-to-leading order with small imaginary 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
• Individual Eigenvalue Distributions of Chiral Random Two-Matrix Theory and the Determination of F_pi
• Chiral Random Matrix Theory and Chiral Perturbation Theory
• Partially quenched chiral perturbation theory in the epsilon regime at next-to-leading order
• Exploring the Aoki regime
• Universal microscopic spectrum of the unquenched QCD Dirac operator at finite temperature