Tests of Electric Polarizability on the Lattice

TL;DR

This paper investigates various lattice techniques for measuring hadronic electric polarizability, analyzing boundary conditions, field linearization, and vector potential formulations to improve accuracy in lattice QCD calculations.

Contribution

It systematically compares different lattice methods and boundary conditions for calculating hadronic electric polarizability using clover fermions.

Findings

Boundary conditions significantly affect polarizability measurements

Field linearization impacts the results and their interpretation

Different vector potential formulations offer alternative approaches

Abstract

Using clover fermions on CP-PACS dynamical configurations, we consider a number of ways of measuring hadronic electric polarizability, an $|\mathbf{E}|^{2}$ effect in hadron masses, using lattice techniques. We consider the effects of periodic and Dirichlet boundary conditions, the field linearization postulate as well as a quantized electric field. We also consider two ways of formulating the classical vector potential which describes a uniform electric field in combination with the other possibilities.