arXiv:hep-ph/0003118·v1·High Energy Physics — Phenomenology
Effective Lagrangians in bound state calculations
V. Antonelli (University of Bern and University of Milano)🇨🇭 · A. Gall (University of Bern)🇨🇭 · J. Gasser (University of Bern)🇨🇭 · A. Rusetsky (University of Bern and University of Tbilisi)🇨🇭
Abstract
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.
Comments: 45 pages, 8 postscript figures, RevTeX style