Author(s)

Ashkbiz Danehkar^1,2

¹Faculty of Physics, University of Craiova, Craiova, Romania.
²Present Address: Center for Astrophysics, Cambridge, MA, USA.

We present a brief review of the cohomological solutions of self-coupling interactions of the fields in the free Yang-Mills theory. All consistent interactions among the fields have been obtained using the antifield formalism through several order BRST deformations of the master equation. It is found that the coupling deformations halt exclusively at the second order, whereas higher order deformations are obstructed due to non-local interactions. The results demonstrate the BRST cohomological derivation of the interacting Yang-Mills theory.

Yang-Mills Theory, BRST Symmetry, BRST Cohomology, Antifield Formalism

Danehkar, A. (2017) On the Cohomological Derivation of Yang-Mills Theory in the Antifield Formalism. Journal of High Energy Physics, Gravitation and Cosmology, 3, 368-387. doi: 10.4236/jhepgc.2017.32031.