Local Solutions of RG Flow Equations from the Nash–Moser Theorem
Abstract We prove local existence of solutions of a functional renormalisation group equation for the effective action of an interacting quantum field theory, when a suitable local potential approximation is considered. To obtain this equation in a Lorentzian setting a quantum state for the theory is selected and a regulator consisting in a mass is added to the action. The flow equation for mass rescalings is then studied using the renown Nash–Moser theorem.
Authors
- Nicola Pinamonti (ORCID: https://orcid.org/0000-0002-6752-9799)
- Edoardo D’Angelo (ORCID: https://orcid.org/0000-0002-0489-7500)
Institutions
- Istituto Nazionale di Fisica Nucleare, Sezione di Genova (IT)
- University of Genoa (IT)
Publication Details
- Journal
- Communications in Mathematical Physics
- Published
- 2024-08-13
- DOI
- https://doi.org/10.1007/s00220-024-05102-7
- Citations
- 1
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.66
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Ministero dell’Istruzione, dell’Università e della Ricerca
- Università degli Studi di Genova
- Gruppo Nazionale per la Fisica Matematica