4.7 Article

The pion mass in finite volume

Journal

EUROPEAN PHYSICAL JOURNAL C
Volume 33, Issue 4, Pages 543-553

Publisher

SPRINGER-VERLAG
DOI: 10.1140/epjc/s2004-01593-y

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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 Luscher formula. We use as input the expression for the infinite volume pipi 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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