Scattering phases on finite lattices in the broken phase of the four-dimensional O(4)-\phi^4 theory

Abstract

According to a proposal of Luescher it is possible to determine elastic scattering phases in infinite volume from the energy spectrum of two-particle states in a periodic box. We demonstrate the applicability of this method in the broken phase of the four-dimensional O(4) non-linear sigma-model in a Monte Carlo study on finite lattices. This non-perturbative approach also permits the study of unstable particles, the sigma-particle in our case. We observe the sigma-resonance and extract its mass and width. In all scattering channels investigated the results are completely consistent with perturbative calculations.

Comments: 46 pages uuencoded Postscript, file 1 contains text with tables (29 pages), file 2 contains figures (17 pages), complete ps-file available via anonymous ftp at thphys.physik.rwth-aachen.de in directory pub/scat, preprints HLRZ Juelich 94-8 and Aachen PITHA 94/11