Manifestly gauge invariant exact renormalization group for quantum electrodynamics

Yuki Miyakawa; Hidenori Sonoda; Hiroshi Suzuki

doi:10.1093/ptep/ptac003

Manifestly gauge invariant exact renormalization group for quantum electrodynamics

Yuki Miyakawa, Hidenori Sonoda, Hiroshi Suzuki

Experimental Particle Physics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Article number	023B02
Journal	Progress of Theoretical and Experimental Physics
Volume	2022
Issue number	2
DOIs	https://doi.org/10.1093/ptep/ptac003
Publication status	Published - Feb 1 2022

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1093/ptep/ptac003

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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{\"u}scher. ",

author = "Yuki Miyakawa and Hidenori Sonoda and Hiroshi Suzuki",

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AB - 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.

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Manifestly gauge invariant exact renormalization group for quantum electrodynamics

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