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Simulations of light scalar mesons on the lattice and related difficulties 1

By Sasa Prelovsek

Abstract

I review the lattice simulations of light scalar mesons with ¯qq and tetraquark interpolating fields. Several difficulties which complicate the extraction of scalar meson masses from the scalar correlators are pointed out. One of the major difficulties is the presence of the twopseudoscalar scattering states, which often dominate the correlator at light quark masses. In the simulations with unphysical approximations such scattering contributions are even more disturbing since they are often large and sometimes negative. Techniques which allow extraction of scalar meson masses in presence of scattering states are listed. Preliminary results of various lattice collaborations are presented.

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