Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2007-05-21
Phys.Rev.C76:014005,2007
Physics
Nuclear Physics
Nuclear Theory
16 pages, REVTeX4, no figures, v2: references added, minor modifications, to be published in PRC
Scientific paper
10.1103/PhysRevC.76.014005
We compare two non-relativistic (NR) reduction schemes (heavy-fermion and Foldy-Wouthuysen) that are used to derive low-energy effective-field-theory Lagrangians. We give the explicit transformation between the two types of fields to O(1/m^2), derived from a quite general, relativistic Lagrangian. Beyond leading order the NR reductions always involve the smaller components of the Dirac spinors that are to be integrated out to formulate the NR theory. Even so, the transformation between the NR Lagrangians can be carried out explicitly to O(1/m^2) using a field renormalization, as long as the lower components of the Lagrangian are known. The fixed coefficient corrections to some low-energy constants at O(1/m^2) will depend on the particular scheme chosen, but will match after the field renormalization.
Gardestig Anders
Kubodera Kuniharu
Myhrer Fred
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