Ideas of Four-Fermion Operators in Electromagnetic Form Factor Calculations

TL;DR

This paper explores the use of four-fermion operators and Fierz rearrangement to compute electromagnetic form factors of nucleons and electrons, offering a novel approach to these calculations.

Contribution

It introduces a new application of four-fermion operators and Fierz rearrangement in electromagnetic form factor calculations, highlighting advantages over traditional methods.

Findings

Demonstrates the application of four-fermion operators to electromagnetic form factors.

Shows the benefits of this approach in simplifying computations.

Provides a theoretical framework for future research.

Abstract

Four-fermion operators have been utilized in the past to link the quark-exchange processes in the interaction of hadrons with the effective meson-exchange amplitudes. In this paper, we apply the similar idea of a Fierz rearrangement to the electromagnetic processes and focus on the electromagnetic form factors of the nucleon and the electron. We explain the motivation of using four-fermion operators and discuss the advantage of this method in computing electromagnetic processes.