Manifestly gauge invariant exact renormalization group for quantum electrodynamics

Yuki Miyakawa, Hidenori Sonoda, Hiroshi Suzuki

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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 languageEnglish
Article number023B02
JournalProgress of Theoretical and Experimental Physics
Issue number2
Publication statusPublished - Feb 1 2022

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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