Local solutions of RG flow equations from the Nash-Moser theorem
Mathematical Physics
2023-11-01 v1 math.MP
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.
Keywords
Cite
@article{arxiv.2310.20596,
title = {Local solutions of RG flow equations from the Nash-Moser theorem},
author = {Edoardo D'Angelo and Nicola Pinamonti},
journal= {arXiv preprint arXiv:2310.20596},
year = {2023}
}