Manifestly gauge invariant exact renormalization group for quantum electrodynamics
High Energy Physics - Theory
2021-12-07 v2 High Energy Physics - Lattice
Abstract
We formulate quantum electrodynamics on the basis of gauge (or BRST) covariant diffusion equations of fields. This is a particular example of the gradient flow exact renormalization group (GFERG). The resulting Wilson action fulfills a simple gauge Ward--Takahashi identity. We solve the GFERG equation around the Gaussian fixed point to the second order in gauge coupling and obtain the 1-loop beta function and anomalous dimensions. The anomalous dimension of the electron field coincides with that of the fermion field diffused by a gauge covariant flow equation of L\"uscher.
Cite
@article{arxiv.2111.15529,
title = {Manifestly gauge invariant exact renormalization group for quantum electrodynamics},
author = {Yuki Miyakawa and Hidenori Sonoda and Hiroshi Suzuki},
journal= {arXiv preprint arXiv:2111.15529},
year = {2021}
}
Comments
37 pages