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Structure-dependent electromagnetic finite-volume effects through order 1/L3

Di Carlo, Matteo ; Hansen, Maxwell T. ; Hermansson-Truedsson, Nils LU orcid and Portelli, Antonin (2024) 40th International Symposium on Lattice Field Theory, LATTICE 2023 In Proceedings of Science 453.
Abstract

We consider electromagnetic finite-volume effects through order 1/L3 in different formulations of QED, where L is the periodicity of the spatial volume.An inherent problem at this order is the appearance of structure-dependent quantities related to form factors and the analytical structure of the correlation functions.The non-local constraint of the widely used QEDL regularization gives rise to structure-dependent effects that are difficult to evaluate analytically and can act as a precision bottleneck in lattice calculations.For this reason, we consider general volume expansions relevant for the mass spectrum as well as leptonic decay rates in QEDC, QEDL and QEDIRL , the... (More)

We consider electromagnetic finite-volume effects through order 1/L3 in different formulations of QED, where L is the periodicity of the spatial volume.An inherent problem at this order is the appearance of structure-dependent quantities related to form factors and the analytical structure of the correlation functions.The non-local constraint of the widely used QEDL regularization gives rise to structure-dependent effects that are difficult to evaluate analytically and can act as a precision bottleneck in lattice calculations.For this reason, we consider general volume expansions relevant for the mass spectrum as well as leptonic decay rates in QEDC, QEDL and QEDIRL , the latter being a class of non-local formulations generalising QEDL.One choice within this class is QEDr, first introduced at this conference, and we show that the effects of non-locality for the 1/L3 term in the expansion can be removed.We observe that there are still 1/L3 contributions unrelated to the (non-)locality of the studied QED formulations, but rather to collinear singularities in the physical amplitudes.

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organization
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type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Proceedings of Science
series title
Proceedings of Science
volume
453
conference name
40th International Symposium on Lattice Field Theory, LATTICE 2023
conference location
Batavia, United States
conference dates
2023-07-31 - 2023-08-04
external identifiers
  • scopus:85210044132
ISSN
1824-8039
language
English
LU publication?
yes
id
2223e007-25d6-4e67-b9b7-d0a3d2d6a8c8
date added to LUP
2025-01-15 13:12:31
date last changed
2025-01-15 13:13:07
@inproceedings{2223e007-25d6-4e67-b9b7-d0a3d2d6a8c8,
  abstract     = {{<p>We consider electromagnetic finite-volume effects through order 1/L<sup>3</sup> in different formulations of QED, where L is the periodicity of the spatial volume.An inherent problem at this order is the appearance of structure-dependent quantities related to form factors and the analytical structure of the correlation functions.The non-local constraint of the widely used QED<sub>L</sub> regularization gives rise to structure-dependent effects that are difficult to evaluate analytically and can act as a precision bottleneck in lattice calculations.For this reason, we consider general volume expansions relevant for the mass spectrum as well as leptonic decay rates in QED<sub>C</sub>, QED<sub>L</sub> and QED<sup>IR</sup><sub>L</sub> , the latter being a class of non-local formulations generalising QED<sub>L</sub>.One choice within this class is QED<sub>r</sub>, first introduced at this conference, and we show that the effects of non-locality for the 1/L<sup>3</sup> term in the expansion can be removed.We observe that there are still 1/L<sup>3</sup> contributions unrelated to the (non-)locality of the studied QED formulations, but rather to collinear singularities in the physical amplitudes.</p>}},
  author       = {{Di Carlo, Matteo and Hansen, Maxwell T. and Hermansson-Truedsson, Nils and Portelli, Antonin}},
  booktitle    = {{Proceedings of Science}},
  issn         = {{1824-8039}},
  language     = {{eng}},
  month        = {{11}},
  series       = {{Proceedings of Science}},
  title        = {{Structure-dependent electromagnetic finite-volume effects through order 1/L<sup>3</sup>}},
  volume       = {{453}},
  year         = {{2024}},
}