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

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作者
E. Epelbaum
J. Gegelia
Ulf-G. Meißner
De-Liang Yao
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[1] Ruhr-Universität Bochum,Institut für Theoretische Physik II
[2] Institute for Advanced Simulation,Helmholtz Institut für Strahlen
[3] Institut für Kernphysik and Jülich Center for Hadron Physics, und Kernphysik and Bethe Center for Theoretical Physics
[4] Forschungszentrum Jülich,undefined
[5] Tbilisi State University,undefined
[6] Universität Bonn,undefined
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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.
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