Extracting Electric Polarizabilities from Lattice QCD

TL;DR

This paper presents a novel lattice QCD method to extract electric polarizabilities of pions and kaons using background fields, demonstrating success in a first-of-its-kind approach with potential for future precision studies.

Contribution

The study introduces a new technique to determine charge particle polarizabilities from lattice QCD with background fields, focusing on valence quark sector implementation.

Findings

Successful extraction of pion and kaon electric polarizabilities

Implementation of uniform background electric fields via quantization

First demonstration of this novel extraction method

Abstract

Charged and neutral, pion and kaon electric polarizabilities are extracted from lattice QCD using an ensemble of anisotropic gauge configurations with dynamical clover fermions. We utilize classical background fields to access the polarizabilities from two-point correlation functions. Uniform background fields are achieved by quantizing the electric field strength with the proper treatment of boundary flux. These external fields, however, are implemented only in the valence quark sector. A novel method to extract charge particle polarizabilities is successfully demonstrated for the first time.