We study the BRST renormalization of an alternative formulation of the Yang-Mills theory, where the matrix-propagator of the gluon and the complementary fields is diagonal. This procedure involves scalings as well as non-linear mixings of the fields and sources. We show, in the Landau gauge, that the BRST identities implement a recursive proof of renormalizability to all orders.
@article{arxiv.1807.09823,
title = {Renormalisation of a diagonal formulation of first order Yang-Mills theory},
author = {F T Brandt and J Frenkel and D G C McKeon},
journal= {arXiv preprint arXiv:1807.09823},
year = {2018}
}