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. © 2017 World Scientific Publishing Company.

authors

• Berra Montiel Oscar Jasel
• Del Río E.
• Molgado Ramos Alberto

publication date

• 2017-01-01

funding provided via

• CB-2014-243433  Grant

published in

• International Journal of Modern Physics A  Journal

keywords

• Chern-Simons; De Donder-Weyl Hamiltonian; Gauge theory; Poisson-Gerstenhaber bracket; polysymplectic formulation; Yang-Mills

Digital Object Identifier (DOI)

• 10.1142/S0217751X17501019

start page

end page

volume

• 32

issue

• 17