Hamiltonian analysis of Poincaré gauge theory scalar modes

Hwei Jang Yo, James M. Nester

Research output: Contribution to journalArticlepeer-review

41 Citations (Scopus)


The Hamiltonian constraint formalism is used to obtain the first explicit complete analysis of nontrivial 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.

Original languageEnglish
Pages (from-to)459-479
Number of pages21
JournalInternational Journal of Modern Physics D
Issue number4
Publication statusPublished - 1999 Aug

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Astronomy and Astrophysics
  • Space and Planetary Science


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