Scattering in a Simple 2-d Lattice Model

Details Scattering in a Simple 2-d Lattice Model Scattering in a Simple 2-d Lattice Model

1992-10-21

arxiv.org/abs/hep-lat/9210023v1

Nucl. Phys. Proc. Suppl. 30 (1993) 875

Physics

High Energy Physics

High Energy Physics - Lattice

4 p + 2 PS-figures, UNIGRAZ-UTP-21-10-92

Scientific paper

10.1016/0920-5632(93)90346-8

L\"uscher has suggested a method to determine phase shifts from the finite volume dependence of the two-particle energy spectrum. We apply this to two models in d=2: (a) the Ising model, (b) a system of two Ising fields with different mass and coupled through a 3-point term, both considered in the symmetric phase. The Monte Carlo simulation makes use of the cluster updating and reduced variance operator techniques. For the Ising system we study in particular O($a^2$) effects in the phase shift of the 2-particle scattering process.

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