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Residual meson-meson interaction from lattice gauge simulation in a simple QED model

  • Canosa, J. D.
  • Fiebig, H. R.
Published Article
Publication Date
Aug 20, 1995
Submission Date
Aug 20, 1995
DOI: 10.1103/PhysRevD.55.1487
arXiv ID: hep-lat/9508018
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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.

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