# Classical field theories from Hamiltonian constraint: Symmetries and conservation laws

@article{Zatloukal2016ClassicalFT, title={Classical field theories from Hamiltonian constraint: Symmetries and conservation laws}, author={V{\'a}clav Zatloukal}, journal={arXiv: Mathematical Physics}, year={2016} }

We discuss the relation between symmetries and conservation laws in the realm of classical field theories based on the Hamiltonian constraint. In this approach, spacetime positions and field values are treated on equal footing, and a generalized multivector-valued momentum is introduced. We derive a field-theoretic Hamiltonian version of the Noether theorem, and identify generalized Noether currents with the momentum contracted with symmetry-generating vector fields. Their relation to the…

## 4 Citations

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

- Physics
- 2016

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…

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

- PhysicsAdvances in Applied Clifford Algebras
- 2018

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…

### Hamiltonian Constraint Formulation of Classical Field Theories

- MathematicsAdvances in Applied Clifford Algebras
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Classical field theory is considered as a theory of unparametrized surfaces embedded in a configuration space, which accommodates, in a symmetric way, spacetime positions and field values. Dynamics…

### Hamiltonian Constraint Formulation of Classical Field Theories

- Mathematics
- 2016

Classical field theory is considered as a theory of unparametrized surfaces embedded in a configuration space, which accommodates, in a symmetric way, spacetime positions and field values. Dynamics…

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