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Paper detail

Gauge Fixing and Constrained Dynamics

We review the Dirac formalism for dealing with constraints in a canonical Hamiltonian formulation and discuss gauge freedom and display constraints for gauge theories in a general context. We introduce the Dirac bracket and show that it provides a consistent method to remove any gauge freedom present. We discuss stability in evolution of gauge theories and show that fixing all gauge freedom is sufficient to ensure well-posedness for a large class of gauge theories. Electrodynamics provides examples of the methods outlined for general gauge theories. Future work will apply the formalism, and results derived here, to General Relativity.

preprint2020arXivOpen access
Jon AllenRichard A. Matzner
math-phmath.MPhep-th
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Jon AllenRichard A. Matzner

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