Work

Functional Renormalization Group Flows and Gauge Consistency in Quantum Electrodynamics

Year: 2025

Type: article

Abstract: We consider quantum electrodynamics with chiral four-Fermi interactions in the functional renormalization group approach. In gauge theories, the functional flow equation for the effective action is accompanied by the quantum master equation that governs the underlying gauge symmetry. Beyond perturbation theory, fully gauge-consistent solutions are very difficult to obtain. In the present work, by including the lowest-order correction to the photon two-point function, we construct a RG-improved one-loop formula that gives rise to dressed nonperturbative photon propagators in the flow equation as well as the quantum master equation. We show that the one-particle irreducible effective action with the new formula satisfies both equations within our truncations. We also discuss the phase structure in terms of the gauge and four-Fermi couplings based on a numerical solution of the system.

Source: Progress of Theoretical and Experimental Physics

DOI: 10.1093/ptep/ptaf169

Authors: Yoshio Echigo, Yuji Igarashi, Katsumi Itoh, Jan M Pawlowski, Yu Takahashi

Institutions: Niigata University, Heidelberg University

Language: English

Topic: Quantum and Classical Electrodynamics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $979

Funders: California Department of Fish and Game, Japan Society for the Promotion of Science