Towards charged hadron polarizabilities from four-point functions in lattice QCD

Wilcox, Walter; Lee, Frank X.

doi:10.1103/PhysRevD.104.034506

Title: Towards charged hadron polarizabilities from four-point functions in lattice QCD

Journal Article · Mon Aug 30 00:00:00 EDT 2021 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.104.034506· OSTI ID:1817820

Wilcox, Walter;

We show how to compute electromagnetic polarizabilities of charged hadrons using four-point functions in lattice QCD. The low-energy behavior of Compton scattering amplitude is matched to matrix elements of current-current correlation functions on the lattice. Working in momentum space, formulas for electric polarizability (α_E) and magnetic polarizability (β_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. The content of the functions is assessed in detail, and specific prescriptions are given to isolate the polarizabilities. The connected quark-line diagrams can be done today as a small lattice project. The disconnected diagrams are more challenging but are within reach of dedicated resources for medium to large lattice projects. We also draw attention to the potential of four-point functions as a multipurpose tool for hadron structure.

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Research Organization:: George Washington Univ., Washington, DC (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-95ER40907

OSTI ID:: 1817820

Alternate ID(s):: OSTI ID: 1850092

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 104 Journal Issue: 3; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Title: Towards charged hadron polarizabilities from four-point functions in lattice QCD

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