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

Matteo Di Carlo, Maxwell T. Hansen, Nils Hermansson-Truedsson*, Antonin Portelli

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

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 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.

Original languageEnglish
DOIs
Publication statusPublished - 6 Nov 2024
Event40th International Symposium on Lattice Field Theory, LATTICE 2023 - Batavia, United States
Duration: 31 Jul 20234 Aug 2023

Conference

Conference40th International Symposium on Lattice Field Theory, LATTICE 2023
Country/TerritoryUnited States
CityBatavia
Period31/07/234/08/23

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