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

@article{Zatloukal2016ClassicalFT,
title={Classical Field Theories from Hamiltonian Constraint: Local Symmetries and Static Gauge Fields},
author={V{\'a}clav Zatloukal},
year={2016},
volume={28},
pages={1-27}
}
• V. Zatloukal
• Published 9 November 2016
• Physics
• 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…
1 Citations
The functional Schrödinger representation of a nonlinear scalar quantum field theory in curved space-time is shown to emerge as a singular limit from the formulation based on precanonical

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