TL;DR
This paper presents a lattice computation of the lepton anomalous magnetic moment in QED up to five loops, demonstrating that lattice methods can effectively handle complex high-order calculations and agree with traditional Feynman diagram results.
Contribution
It introduces a lattice approach to compute high-order QED corrections to the lepton magnetic moment, simplifying the calculation of complex diagrams without lepton loops.
Findings
Good agreement with Feynman diagram results
Lattice method effectively handles five-loop calculations
Simplifies complex diagram evaluations
Abstract
We report the result of the numerical lattice computation of the lepton anomalous magnetic moment in QED up to five loops. We concentrate on the contributions from diagrams without lepton loops, which are the most difficult part of the calculation in the Feynman diagram method while the lattice formulation is the easiest. Good agreement with the results of the Feynman diagram method is observed.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies