Lattice Charge Overlap and the Elastic Limit

Abstract

The results of a lattice simulation of time-separated charge overlap for the charged pion are discussed. The expected result $\sim \exp [-(E_q-m_{\pi })t]$ for large charge density overlap time separations, $t$, is clearly visible in the Fourier transform, indicating that the elastic limit can be achieved at low to medium momentum values on present-sized lattices. The implications of this result for direct lattice simulations of hadron structure functions are discussed and a brief presentation of the lattice formalism is given.

Comments: 4 pages, BU/HEP/92/2