Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1995-08-21
Phys.Rev. D55 (1997) 1487-1500
Physics
High Energy Physics
High Energy Physics - Lattice
28 pages, compressed postscript file
Scientific paper
10.1103/PhysRevD.55.1487
The residual interaction for a meson-meson system is computed utilizing the cumulant, or cluster, expansion of the momentum-space time correlation matrix. The cumulant expansion serves to define asymptotic, or free, meson-meson operators. The definition of an effective interaction is then based on a comparison of the full (interacting) and the free (noninteracting) time correlation matrices. The proposed method, which may straightforwardly be transcribed to other hadron-hadron systems, here is applied to a simple 2+1 dimensional U(1) lattice gauge model tuned such that it is confining. Fermions are treated in the staggered scheme. The effective interaction exhibits a repulsive core and attraction at intermediate relative distances. These findings are consistent with an earlier study of the same model utilizing L\"{u}scher's method where scattering phase shifts are obtained directly.
Canosa J. D.
Fiebig Rudolf H.
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