Manifestly gauge invariant exact renormalization group for quantum electrodynamics-Reference-Cited by-同舟云学术

Manifestly gauge invariant exact renormalization group for quantum electrodynamics

Published:2022-01-08 Issue:2 Volume:2022 Page:
ISSN:2050-3911
Container-title:Progress of Theoretical and Experimental Physics
language:en
Short-container-title:

Author:

Miyakawa Yuki¹,Sonoda Hidenori²,Suzuki Hiroshi¹

Affiliation:

1. Department of Physics, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan

2. Physics Department, Kobe University, Kobe 657-8501, Japan

Abstract

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 Lüscher.

Funder

SCOAP

Publisher

Oxford University Press (OUP)

Subject

General Physics and Astronomy

Link

https://academic.oup.com/ptep/advance-article-pdf/doi/10.1093/ptep/ptac003/42196073/ptac003.pdf

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