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arXiv · 2008.10603

Wavelet regularization of Euclidean QED

Mikhail Altaisky·Robin Raj
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Abstract

The regularization of quantum electrodynamics in the space of functions $\psi_a(x)$, which depend on both the position $x$ and the scale $a$, is presented. The scale-dependent functions are defined in terms of the continuous wavelet transform in $\mathbb{R}^4$ Euclidean space, with the derivatives of Gaussian served as basic wavelets. The vacuum polarization and the dependence of the effective coupling constant on the scale parameters are calculated in one-loop approximation in the limit $p^2 \gg 4m^2$.

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Mikhail Altaisky, Robin Raj. 2020-08-24. Wavelet regularization of Euclidean QED. https://doi.org/10.1103/physrevd.102.125021

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