On the covariant Hamilton-Jacobi formulation of Maxwell's equations via the polysymplectic reduction

Published 30 Dec 2022 in math-ph, hep-th, and math.MP | (2212.14845v1)

Abstract: The covariant Hamilton-Jacobi formulation of Maxwell's equations is derived from the first-order (Palatini-like) Lagrangian using the analysis of constraints within the De~Donder-Weyl covariant Hamiltonian formalism and the corresponding polysymplectic reduction.

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