Effective Lagrangians in bound state calculations

Details Effective Lagrangians in bound state calculations Effective Lagrangians in bound state calculations

2000-03-13

arxiv.org/abs/hep-ph/0003118v1

Annals Phys. 286 (2001) 108-156

Physics

High Energy Physics

High Energy Physics - Phenomenology

45 pages, 8 postscript figures, RevTeX style

Scientific paper

10.1006/aphy.2000.6084

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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