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2022

QED on the lattice and numerical perturbative computation of $g-2$

Kitano, Ryuichiro, Takaura, Hiromasa

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We compute the electron $g$ factor to the $\mathcal{O}(\alpha^5)$ order on the lattice in quenched QED.

We first study finite volume corrections in various IR regularization methods to discuss which regularization is optimal for our purpose.
We find that in QED$_L$ the finite volume correction to the effective mass can have different parametric dependences depending on the size of Euclidean time $t$ and match the `naive on-shell result' only at very large $t$ region, $t \gg L$.
We adopt finite photon mass regularization to suppress finite volume effects exponentially and also discuss our strategy for selecting simulation parameters and the order of extrapolations to efficiently obtain the $g$ factor.

QED on the lattice and numerical perturbative computation of $g-2$ · Around

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