The pion mass in finite volume

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 Luescher 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. (orig.)Available from TIB Hannover: RA 2999(03-177) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman