Physics-informed gauge theories

We use the physics-informed renormalization group (PIRG) for the construction of gauge invariant renormalization group flows. The respective effective action is a sum of a gauge invariant quantum part and the classical gauge fixing part which arranges for invertibility of the gauge field two-point f...

Description complète

Enregistré dans:
Détails bibliographiques
Auteurs principaux: Ihssen, Friederike (Auteur) , Pawlowski, Jan M. (Auteur)
Format: Article (Journal)
Langue:anglais
Publié: 7 November 2025
In: Physical review
Year: 2025, Volume: 112, Numéro: 10, Pages: 1-20
ISSN:2470-0029
DOI:10.1103/jhqd-cjzk
Accès en ligne:Verlag, kostenfrei, Volltext: https://doi.org/10.1103/jhqd-cjzk
Verlag, kostenfrei, Volltext: https://link.aps.org/doi/10.1103/jhqd-cjzk
Accéder au texte intégral
Notes sur l'auteur:Friederike Ihssen and Jan M. Pawlowski
Description
Résumé:We use the physics-informed renormalization group (PIRG) for the construction of gauge invariant renormalization group flows. The respective effective action is a sum of a gauge invariant quantum part and the classical gauge fixing part which arranges for invertibility of the gauge field two-point function. Thus, the BRST transformations simply accommodate the gauge consistency of the gauge fixing sector, while the quantum part of the effective action is gauge and BRST invariant. We apply this physics-informed approach to Yang-Mills theory and gravity and show how the flowing gauge fields arrange for full gauge invariance. We also embed the background field approximation to the functional renormalization group (fRG) in an exact gauge invariant PIRG flow. This allows us to discuss the dynamics of the correction terms, and the nontrivial ultraviolet or infrared relevant terms are elucidated within a one-loop approximation. The background field approximation of the latter is known for violating one-loop universality for specific regulators, and we show how the present setup reinstates universality in a constructive way. Finally, we discuss the landscape of fRG flows in gauge theories through the lens of the novel PIRG approach as well as potential applications.
Description:Gesehen am 25.02.2026
Description matérielle:Online Resource
ISSN:2470-0029
DOI:10.1103/jhqd-cjzk