Finite size effects on $M_{\pi }$ in QCD from Chiral Perturbation Theory

Abstract

We present a determination of the shift $M_{\pi }(L)-M_{\pi }$ due to the finite spatial box size $L$ by means of $N_f=2$ Chiral Perturbation Theory and Lüscher's formula. The range of applicability of the chiral prediction is discussed.

Comments: 3 pages, 3 figures, Lattice2002(spectrum)