Exact Schwinger Proper Time Renormalisation
High Energy Physics - Theory
2025-08-12 v2 High Energy Physics - Phenomenology
Abstract
We derive an exact version of the Schwinger Proper Time Renormalisation Group flow equation from first principles from the complete path integral, without using any perturbative expansion. We study the advantages of this flow equation as compared to the canonical Exact Renormalisation Group flow equation, which uses a regulator in momentum space. We use our flow equation to recover the convexity of the effective scalar potential in the IR limit and apply it to the study of false-vacuum decay.
Cite
@article{arxiv.2311.12102,
title = {Exact Schwinger Proper Time Renormalisation},
author = {Steven Abel and Lucien Heurtier},
journal= {arXiv preprint arXiv:2311.12102},
year = {2025}
}
Comments
Added details regarding the derivation of the flow equation and one figure sketching its interpretation in terms of Feynman diagrams. Improved discussion of the results