paper

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

arXiv:1611.06040 · doi:10.1140/epja/i2017-12288-3

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.

6 pages, 4 figures

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