Publications
Publication Information
| Title | A model-independent framework for determining finite-volume effects of spatially nonlocal operators |
| Authors | Raul Briceno, Christopher Monahan |
| JLAB number | JLAB-THY-21-3315 |
| LANL number | arXiv:2102.01814 |
| Other number | DOE/OR/23177-5134 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
|
Journal Compiled for Physical Review D Volume 103 Page(s) 094521 Refereed | |
| Publication 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 explain 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 non-perturbatively 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. |
| Experiment Numbers: | |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.103.094521 |
| Accepted Manuscript: | PhysRevD.103.094521.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |