Reparameterization Invariance in Heavy Particle Effective Field Theories

Details Reparameterization Invariance in Heavy Particle Effective Field Theories Reparameterization Invariance in Heavy Particle Effective Field Theories

1997-09-04

arxiv.org/abs/hep-ph/9709238v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 22 pages

Scientific paper

In a low energy effective theory, the fields of heavy particles with mass $m$ and total momentum $p$ depend on both a velocity $v$ and a residual momentum $k$ such that $p =mv +k$. However, there is some arbitrariness in such a description because one may also use a slightly different velocity with a compensating change in the residual momentum. This non-uniqueness is the origin of an invariance under such a reparameterization which imposes non-trivial constraints on the theory. The implications of this invariance for effective theories of heavy spin-0, 1/2, and 1 fields is investigated.

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