Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Poster
Measuring Charged Particle Polarzabilities on the Lattice without Background Fields
F. Lee* and W. Wilcox
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Pre-published on: May 16, 2022
Published on:
Abstract
We show how to compute electromagnetic polarizabilities of charged hadrons without the use of background fields in lattice QCD.
The low-energy behavior of the Compton scattering amplitude is matched to matrix elements of current-current correlation functions on the lattice. Working in momentum space, formulas for electric polarizability ($\alpha_E$) and magnetic polarizability ($\beta_M$) are derived for both a charged pion and the proton.
Lattice four-point correlation functions are constructed from quark and gluon fields to be used in Monte-Carlo simulations. We also draw attention to the potential of four-point functions as a multi-purpose tool for hadron structure.
DOI: https://doi.org/10.22323/1.396.0044
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