Effective Field Theory for Short-Range Forces

Details Effective Field Theory for Short-Range Forces Effective Field Theory for Short-Range Forces

1998-08-03

arxiv.org/abs/nucl-th/9808007v1

Nucl.Phys.A645:273-302,1999

Physics

Nuclear Physics

Nuclear Theory

38 pages, 6 figures

Scientific paper

10.1016/S0375-9474(98)00612-5

The method of effective field theories (EFTs) is developed for the scattering of two particles at wavelengths which are large compared to the range of their interaction. It is shown that the renormalized EFT is equivalent to the effective range expansion, to a Schroedinger equation with a pseudo-potential, and to an energy expansion of a generic boundary condition at the origin. The roles of regulators and potentials are also discussed. These ideas are exemplified in a toy model.

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