Hergt, Steven, Steinhoff, Jan and Schaefer, Gerhard (2012), "Elimination of the spin supplementary condition in the effective field
theory approach to the post-Newtonian approximation", ANNALS OF PHYSICS, 327, 6: 1494-1537.
Abstract: The present paper addresses open questions regarding the handling of the
spin supplementary condition within the effective field theory approach
to the post-Newtonian approximation. In particular it is shown how the
covariant spin supplementary condition can be eliminated at the level of
the potential (which is subtle in various respects) and how the dynamics
can be cast into a fully reduced Hamiltonian form. Two different methods
are used and compared, one based on the well-known Dirac bracket and the
other based on an action principle. It is discussed how the latter
approach can be used to improve the Feynman rules by formulating them in
terms of reduced canonical spin variables. (C) 2012 Elsevier Inc. All
rights reserved.
Keywords: Post-Newtonian approximation; Classical spin; Canonical formalism;
Effective field theory
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