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Hamiltonian analysis of Poincar\'e gauge theory scalar modes

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arxiv gr-qc/9902032 v1 pith:IYHG4AVM submitted 1999-02-11 gr-qc

Hwei-jang Yo , James M. Nester This is my paper
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keywords modesgaugehamiltoniananalysisconstraintexplicitmodepoincar
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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 Poincar\'e 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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Infrared foundations for quantum geometry II: Catalogue of all torsion-like theories including new ghost-tachyon-free cases

    hep-th 2025-07 conditional novelty 7.0 of 10

    A systematic catalogue of symmetric pair-antisymmetric rank-three field theories yields 22 ghost-tachyon-free models, all propagating vector torsion and none propagating scalar or pseudoscalar torsion.

  2. Gravitational waves in Cubic Metric-Affine Gravity

    gr-qc 2025-11 conditional novelty 6.0 of 10

    New exact pp-wave solutions in cubic metric-affine gravity have dynamical torsion and nonmetricity and cause a scalar polarization mode in gravitational waves.

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