Lattice Charge Overlap and the Elastic Limit

TL;DR

This paper presents lattice simulation results showing that the elastic limit for charged pion charge overlap can be achieved at low to medium momenta, with implications for hadron structure function studies.

Contribution

It demonstrates that the elastic limit can be reached in lattice simulations at accessible lattice sizes, supporting direct calculations of hadron structure functions.

Findings

Elastic limit observable at low to medium momenta

Charge overlap decay matches theoretical exponential form

Implications for lattice-based hadron structure analysis

Abstract

The results of a lattice simulation of time-separated charge overlap for the charged pion are discussed. The expected result $\sim {\rm exp}[-(E_q - m_{\pi})t\,]$ 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.