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High Energy Physics - Theory

arXiv:2111.15529 (hep-th)
[Submitted on 30 Nov 2021 (v1), last revised 6 Dec 2021 (this version, v2)]

Title:Manifestly gauge invariant exact renormalization group for quantum electrodynamics

Authors:Yuki Miyakawa, Hidenori Sonoda, Hiroshi Suzuki
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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 Lüscher.
Comments: 37 pages
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Lattice (hep-lat)
Report number: KYUSHU-HET-231, KOBE-TH-21-02
Cite as: arXiv:2111.15529 [hep-th]
  (or arXiv:2111.15529v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.15529

Submission history

From: Hiroshi Suzuki [view email]
[v1] Tue, 30 Nov 2021 16:20:18 UTC (43 KB)
[v2] Mon, 6 Dec 2021 12:02:28 UTC (43 KB)
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