Work

Asymptotically free solutions of the scalar flow equations

Year: 2026

Type: preprint

Abstract: We analyse solutions of the flow equations of the renormalisation group for the n-point Schwinger functions of scalar field theory in four-dimensional Euclidean space with nonpolynomial boundary conditions. We show that there exist UV asymptotically free solutions of this type which are Bose symmetric, invariant under the Euclidean group, analytic in the flow parameter and the momenta, and satisfy the Osterwalder-Schrader growth condition.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.06165

Author: Kopper, Christoph

Institutions: Centre National de la Recherche Scientifique, École Polytechnique, Centre de Physique Théorique, Institut Polytechnique de Paris

Language: English

Topic: p-Adic Analysis and Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7220676890

Cites: 1

Cited by:

Related to: 10