Polysymplectic formulation for topologically massive Yang-Mills field theory

Abstract

We analyze the De Donder-Weyl covariant field equations for the topologically massive Yang-Mills theory. These equations are obtained through the Poisson-Gerstenhaber bracket described within the polysymplectic framework. Even though the Lagrangian defining the system of our interest is singular, we show that by appropriately choosing the polymomenta one may obtain an equivalent regular Lagrangian, thus avoiding the standard analysis of constraints. Further, our simple treatment allows us to only consider the privileged $(n-1)$-forms in order to obtain the correct field equations, in opposition to certain examples found in the literature.

19 pages, no figures. Published version

References in corpus (4)

• A Note On The Chern-Simons And Kodama Wavefunctions
• Ehrenfest Theorem in Precanonical Quantization
• Multisymplectic formalism and the covariant phase
• Observable currents in lattice field theories

Cited by in corpus (5)

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• A review on geometric formulations for classical field theory: the Bonzom-Livine model for gravity
• De Donder-Weyl Hamiltonian formalism of MacDowell-Mansouri gravity
• Polysymplectic formulation for BF gravity with Immirzi parameter
• Precanonical structure of the Schrödinger wave functional in curved space-time