Effective Lagrangians in bound state calculations

A. Gall (University of Bern); A. Rusetsky (University of Bern; J. Gasser (University of Bern); University of Milano); University of Tbilisi); V. Antonelli (University of Bern

Effective Lagrangians in bound state calculations

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arxiv hep-ph/0003118 v1 pith:VS46Y443 submitted 2000-03-13 hep-ph

V. Antonelli (University of Bern , University of Milano) , A. Gall (University of Bern) , J. Gasser (University of Bern) , A. Rusetsky (University of Bern , University of Tbilisi) This is my paper · ORCID

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keywords calculationsboundbound-statenon-relativisticparticlescalarstateaddition

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In order to investigate specific aspects of bound state calculations in a non-relativistic framework, we consider the energy-levels of a massive scalar particle, which moves in an external field and interacts in addition with a massless scalar particle. The discussion includes the following topics: dimensionally regularized bound-state calculations, ultraviolet finiteness of bound-state observables and their independence of the off-mass-shell behavior of Green functions, non-renormalizable interactions, structure of the non-relativistic two-point function, power counting and matching.

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