Eur. Phys. J. A (2017) 53: 98
https://doi.org/10.1140/epja/i2017-12288-3

Regular Article - Theoretical Physics

Renormalization of the three-boson system with short-range interactions revisited

¹ Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780, Bochum, Germany
² Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany
³ Tbilisi State University, 0186, Tbilisi, Georgia
⁴ Helmholtz Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115, Bonn, Germany

^* e-mail: jgegelia@hotmail.com

Received: 12 December 2016
Accepted: 20 April 2017
Published online: 18 May 2017

Abstract

We consider renormalization of the three-body scattering problem in low-energy effective field theory of self-interacting scalar particles by applying time-ordered perturbation theory to the manifestly Lorentz-invariant formulation. The obtained leading-order equation is perturbatively renormalizable and non-perturbatively finite and does not require a three-body counter term in contrast to its non-relativistic approximation.