Document Type
Article
Publication Date
2021
DOI
10.1103/PhysRevD.103.094521
Publication Title
Physical Review D
Volume
103
Issue
9
Pages
1-12
Abstract
We present a model-independent framework to determine finite-volume corrections of matrix elements of spatially separated current-current operators. We define these matrix elements in terms of Compton-like amplitudes, i.e., amplitudes coupling single-particle states via two current insertions. We show that the infrared behavior of these matrix elements is dominated by the single-particle pole, which is approximated by the elastic form factors of the lowest-lying hadron. Therefore, given lattice data on the relevant elastic form factors, the finite-volume effects can be estimated nonperturbatively and without recourse to effective field theories. For illustration purposes, we investigate the implications of the proposed formalism for a class of scalar theories in two and four dimensions.
Original Publication Citation
Briceño, R. A., & Monahan, C. J. (2021). Model-independent framework for determining finite-volume effects of spatially nonlocal operators. Physical Review D, 103(9), 1-12, Article 094521. https://doi.org/10.1103/PhysRevD.103.094521
ORCID
0000-0003-1109-1473 (Briceño)
Repository Citation
Briceño, Raúl A. and Monahan, Christopher J., "Consistency Checks For Two-Body Finite-Volume Matrix Elements: Conserved Currents and Bound States" (2021). Physics Faculty Publications. 531.
https://digitalcommons.odu.edu/physics_fac_pubs/531
Included in
Elementary Particles and Fields and String Theory Commons, Nuclear Commons, Quantum Physics Commons
Comments
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
Publisher's version available at: https://doi.org/10.1103/PhysRevD.103.094521