Eur. Phys. J. A (2016) 52: 26
https://doi.org/10.1140/epja/i2016-16026-1

Regular Article - Theoretical Physics

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

¹ Theoretical Physics Division, School of Physics and Astronomy, The University of Manchester, M13 9PL, Manchester, UK
² Institut für Theoretische Physik II, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, D-44780, Bochum, Germany
³ Institute for Advanced Simulation, Institut für Kernphysik, Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany
⁴ Tbilisi State University, 0186, Tbilisi, Georgia

^* e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Received: 8 October 2015
Accepted: 13 January 2016
Published online: 12 February 2016

Abstract

We outline a separable matrix ansatz for the potentials in effective field theories of non-relativistic 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.