Nonperturbative S-Matrix Renormalization.

Authors

Laurent Freidel, José Padua-Argüelles, Susanne Schander, Marc Schiffer

Published in

Physical review letters. Volume 136. Issue 25. Pages 251602. Jun 26, 2026.

Abstract

We propose a renormalization group flow equation for a functional that generates S-matrix elements and which captures similarities to the well-known Wetterich and Polchinski equations. While the latter ones, respectively, involve the effective action and Schwinger functional, which are genuine off-shell objects, the presented flow equation has the advantage of working more directly with observables, i.e., scattering amplitudes. Compared to the Wetterich equation, our flow equation also greatly simplifies the notion of going on shell, in the sense of satisfying the quantum equations of motion. In addition, unlike the Wetterich equation, it is polynomial and does not require a Hessian inversion. The approach is a promising direction for nonperturbative quantum field theories, allowing one to work more directly with scattering amplitudes.

PMID:
42430643
Bibliographic data and abstract were imported from PubMed on 11 Jul 2026.

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