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Hamiltonian analysis of Poincaré gauge theory scalar modes

Hwei-jang Yo·James M. Nester
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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.

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Hwei-jang Yo, James M. Nester. 1999-02-11. Hamiltonian analysis of Poincaré gauge theory scalar modes. https://doi.org/10.1142/s021827189900033x

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