Scattering in the quenched approximation

Abstract

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 ${\eta }^{\prime }$ in the quenched approximation. Numerical examples show that the size of these effects can be substantial.

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

References in corpus (2)

• Chiral limit of QCD
• Lattice QCD Calculation of Hadron Scattering Lengths

Cited by in corpus (4)

• Hadron Scattering in an Asymmetric Box
• Lattice study on kaon nucleon scattering length in the I=1 channel
• Determining low-energy constants in partially quenched Wilson chiral perturbation theory
• Finite-Volume Partially-Quenched Two-Pion Amplitudes in the I=0 Channel