English

Effective Lagrangians in bound state calculations

High Energy Physics - Phenomenology 2009-10-31 v1

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.

Keywords

Cite

@article{arxiv.hep-ph/0003118,
  title  = {Effective Lagrangians in bound state calculations},
  author = {V. Antonelli and A. Gall and J. Gasser and A. Rusetsky},
  journal= {arXiv preprint arXiv:hep-ph/0003118},
  year   = {2009}
}

Comments

45 pages, 8 postscript figures, RevTeX style

R2 v1 2026-07-22T13:25:50.482Z