Measuring charged particle polarizabilities on the lattice without background fields

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 charged pion and 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.

arXiv comment9 pages, 1 figure, presented at the 38th International Symposium on Lattice Field Theory, LATTICE2021, July 36-30, 2021 Zoom/Gather@Massachusetts Institute of Technology

References in corpus (9)

• Baryon magnetic moments in the background field method
• Magnetic polarizability of hadrons from lattice QCD in the background field method
• Neutron electric polarizability from unquenched lattice QCD using the background field approach
• Calculation and Interpretation of Hadron Correlation Functions in Lattice QCD
• Electric polarizability of neutral hadrons from dynamical lattice QCD ensembles
• Sea contributions to the electric polarizability of the hadrons
• Finite volume effects on the electric polarizability of neutral hadrons in lattice QCD
• Towards charged hadron polarizabilities from four-point functions in lattice QCD
• Lattice Charge Overlap and the Elastic Limit