Calculation of Nucleon Electromagnetic Form Factors

TL;DR

This paper develops a formalism to express nucleon electromagnetic form factors on a cubic lattice, ensuring symmetry consistency, and demonstrates how to approach the continuum limit through specific linear combinations.

Contribution

It introduces a formalism for calculating nucleon electromagnetic form factors on a lattice that respects symmetries and shows how to recover continuum results.

Findings

Number of form factors calculated

Linear combinations approach continuum limit

Formalism respects lattice symmetries

Abstract

The fomalism is developed to express nucleon matrix elements of the electromagnetic current in terms of form factors consistent with the translational, rotational, and parity symmetries of a cubic lattice. We calculate the number of these form factors and show how appropriate linear combinations approach the continuum limit.