Hamiltonian analysis of Poincaré gauge theory scalar modes

Abstract

The Hamiltonian constraint formalism is used to obtain the first explicit complete analysis of non-trivial viable dynamic modes for the Poincaré gauge theory of gravity. Two modes with propagating spin-zero torsion are analyzed. The explicit form of the Hamiltonian is presented. All constraints are obtained and classified. The Lagrange multipliers are derived. It is shown that a massive spin-$0^{-}$ mode has normal dynamical propagation but the associated massless $0^{-}$ is pure gauge. The spin-$0^{+}$ mode investigated here is also viable in general. Both modes exhibit a simple type of ``constraint bifurcation'' for certain special field/parameter values.

28 pages, LaTex, submitted to International Journal of Modern Physics D

References in corpus (1)

• Consistent Spin-Two Coupling and Quadratic Gravitation

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