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

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

1994-02-15

arxiv.org/abs/hep-lat/9402011v1

Nucl.Phys. B425 (1994) 413-448

Physics

High Energy Physics

High Energy Physics - Lattice

46 pages uuencoded Postscript, file 1 contains text with tables (29 pages), file 2 contains figures (17 pages), complete ps-fi

Scientific paper

10.1016/0550-3213(94)90186-4

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.

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