Effective Lagrangians in bound state calculations

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.

45 pages, 8 postscript figures, RevTeX style

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Cited by in corpus (10)

• Chiral Perturbation Theory Beyond One Loop
• Decays of the pi+ pi- atom
• Radiative corrections in K --> 3 pi decays
• Cusps in K --> 3pi decays: a theoretical framework
• Decay widths and energy shifts of pi pi and pi K atoms
• Extraction of scattering lengths from final-state interactions
• Hadronic Atoms
• Variational Worldline Approximation for the Relativistic Two-Body Bound State in a Scalar Model
• Hadronic potentials from effective field theories
• Energy and decay width of the pi-K atom