Scattering in the quenched approximation

Details Scattering in the quenched approximation Scattering in the quenched approximation

1995-09-11

arxiv.org/abs/hep-lat/9509022v1

Nucl.Phys.Proc.Suppl. 47 (1996) 553-556

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, uuencoded compressed tar-file, contribution to Lattice'95

Scientific paper

10.1016/0920-5632(96)00120-X

We study, in the quenched approximation, Luescher's relation between pion scattering lengths and the finite-volume energy of two pions at rest. The quenched relation is drastically different from the full theory one; in particular, ``enhanced finite-volume corrections" of order $L^0=1$ and $L^{-2}$ occur at one loop ($L$ is the linear size of the box), due to the special properties of the $\eta'$ in the quenched approximation. Numerical examples show that the size of these effects can be substantial.

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