Publications
Publication Information
| Title | Finite-volume effects due to spatially nonlocal operators | ||
| Authors | Raul Briceno, Juan Guerrero Teran, Maxwell Hansen, Christopher Monahan | ||
| JLAB number | JLAB-THY-18-2697 | ||
| LANL number | arXiv:1805.01034 | ||
| Other number | DOE/OR/23177-4429, CERN-TH-2018-109, INT-PUB-18-019 | ||
| Document Type(s) | (Journal Article) | ||
| Associated with EIC: | No | ||
| Supported by Jefferson Lab LDRD Funding: | No | ||
| Funding Source: | Nuclear Physics (NP) | ||
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Journal Compiled for Physical Review D Volume 98 Issue 01 Page(s) 014511 Refereed | |||
| Publication Abstract: | Spatially non-local matrix elements are useful lattice-QCD observables in a variety of contexts, for example in determining hadron structure. In order to quote credible estimates of the systematic uncertainties in these calculations, one must understand, among other things, the size of the finite-volume effects when such matrix elements are extracted from numerical lattice calculations. In this work we estimate these effects by considering a simple toy model in which the non-local operator is composed of two currents displaced in a spatial direction by a distance $\xi$. We find that the finite-volume corrections depend on the details of the matrix element. If the external state is the lightest degree of freedom in the theory, e.g.~the pion in QCD, then the volume corrections scale as $ e^{-m_\pi (L- \xi)} $, where $m$ is the mass of the light state. For heavier external states the usual $e^{- m_\pi L}$ form is recovered, but with a polynomial prefactor of the form $L^a/|L - \xi|^b$ that can lead to enhanced volume effects. These observations {might be relevant} for a wide variety of observables being studied using lattice QCD, including parton distribution functions, double-beta decay and Compton scattering matrix elements, and long-range weak matrix elements. | ||
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| Group: | THEORY CENTER | ||
| Document: | |||
| DOI: | https://doi.org/10.1103/PhysRevD.98.014511 | ||
| Accepted Manuscript: | PhysRevD.98-014511.pdf | ||
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