From self-consistent covariant effective field theories to their Galilean-invariant counterparts

Details From self-consistent covariant effective field theories to their Galilean-invariant counterparts From self-consistent covariant effective field theories to their Galilean-invariant counterparts

2007-05-22

arxiv.org/abs/0705.3192v1

Phys.Rev.Lett.98:262501,2007

Physics

Nuclear Physics

Nuclear Theory

4 pages, accepted for publication in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.98.262501

We discuss how to obtain the nonrelativistic limit of a self-consistent relativistic effective field theory for dynamic problems. It is shown that the standard v/c expansions yields Galilean invariance only to first order in v/c, whereas second order is required to obtain important contributions such as the spin-orbit force. We propose a modified procedure which is a mapping rather than a strict v/c expansion.

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