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

2022/12/30 by Pietrzyk, Monika E., Barbachoux, Cécile, Kanatchikov, Igor V. +1
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2212.14845

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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