1–5 Sept 2026
University of Sussex
Europe/London timezone

Functional Renormalization Group Flows and Gauge Consistency

2 Sept 2026, 14:20
20m
Large Lecture Theatre (Jubilee Building)

Large Lecture Theatre

Jubilee Building

Speaker

Katsumi Itoh (Niigata University)

Description

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. By including the lowest-order correction to the photon two-point function, we use dressed nonperturbative photon propagators in the flow equation as well as the quantum master equation. We show that the 1PI effective action with the new prescription 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.

Affiliation Niigata University
Link to paper https://academic.oup.com/ptep/article/2026/1/013B01/8373846
Career status Senior

Author

Katsumi Itoh (Niigata University)

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