Classical Field Theories from Hamiltonian Constraint: Local Symmetries and Static Gauge Fields

@article{Zatloukal2018ClassicalFT,
  title={Classical Field Theories from Hamiltonian Constraint: Local Symmetries and Static Gauge Fields},
  author={V{\'a}clav Zatloukal},
  journal={Advances in Applied Clifford Algebras},
  year={2018},
  volume={28},
  pages={1-27}
}
  • Václav Zatloukal
  • Published 2018
  • Physics, Mathematics
  • Advances in Applied Clifford Algebras
  • We consider the Hamiltonian constraint formulation of classical field theories, which treats spacetime and the space of fields symmetrically, and utilizes the concept of momentum multivector. The gauge field is introduced to compensate for non-invariance of the Hamiltonian under local transformations. It is a position-dependent linear mapping, which couples to the Hamiltonian by acting on the momentum multivector. We investigate symmetries of the ensuing gauged Hamiltonian, and propose a… CONTINUE READING

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