New fixed points of the renormalisation group for two-body scattering

TL;DR

This paper introduces a separable matrix ansatz for short-range potentials in nonrelativistic two-body systems, revealing new fixed points in the renormalisation-group flow that suggest a more complex structure than previously understood.

Contribution

It presents a novel separable matrix ansatz and identifies new fixed points in the RG flow for short-range potentials, expanding the understanding of the RG structure.

Findings

Discovery of new fixed points in RG flow

Richer RG flow structure than previously known

Implications for effective field theories of two-body systems

Abstract

We outline a separable matrix ansatz for the potentials in effective field theories of nonrelativistic two-body systems with short-range interactions. We use this ansatz to construct new fixed points of the renormalisation-group equation for these potentials. New fixed points indicate a much richer structure than previously recognized in the RG flows of simple short-range potentials.