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

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

2004-03-25

arxiv.org/abs/hep-lat/0403025v2

Phys.Lett. B590 (2004) 258-264

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/j.physletb.2004.03.080

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 \pi |
A_\mu|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.

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