paper

An asymptotic formula for the pion decay constant in a large volume

arXiv:hep-lat/0403025 · doi:10.1016/j.physletb.2004.03.080

Abstract

We derive an asymptotic formula a la Luscher for the finite volume correction to the pion decay constant: this is expressed as an integral over the < 3 π| A_μ|0 > amplitude after proper subtraction of the pion pole contribution. We analyze the formula numerically at leading and next-to-leading order in the chiral expansion.

10 pages, 2 figures, v2: two references and a comment on the corresponding lattice results added

An asymptotic formula for the pion decay constant in a large volume · wovepaper