First order formulation of the Yang-Mills theory in a background field
arXiv:1810.10672 · doi:10.1016/j.aop.2019.167932
Abstract
The background gauge renormalization of the first order formulation of the Yang-Mills theory is studied by using the BRST identities. Together with the background symmetry, these identities allow for an iterative proof of renormalizability to all orders in perturbation theory. However, due to the fact that certain improper diagrams which violate the BRST symmetry should be removed, the renormalizability must be deduced indirectly. The recursive method involves rescalings and mixings of the fields, which lead to a renormalized effective action for the background field theory.
arXiv commentCorrected typos; 14 pages, two figures. A new appendix has been added. Published in Annals of Physics
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