The pion mass in finite volume

Details The pion mass in finite volume The pion mass in finite volume

2003-11-17

arxiv.org/abs/hep-lat/0311023v1

Eur.Phys.J.C33:543-553,2004

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, 7 figures, 3 tables

Scientific paper

10.1140/epjc/s2004-01593-y

We determine the relative pion mass shift $M_\pi(L)/M_\pi-1$ due to the finite spatial extent $L$ of the box by means of two-flavor chiral perturbation theory and the one-particle L\"uscher formula. We use as input the expression for the infinite volume $\pi\pi$ forward scattering amplitude up to next-to-next-to-leading order and can therefore control the convergence of the chiral series. A comparison to the full leading order chiral expression for the pion mass in finite volume allows us to check the size of subleading terms in the large-$L$ expansion.

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