English

Gauge dependence and multiplicative renormalization of Yang-Mills theory with matter fields

High Energy Physics - Theory 2019-07-31 v2

Abstract

In the paper, within the background field method, the renormalization and the gauge dependence is studied as for an SU(2) Yang-Mills theory with multiplets of spinor and scalar fields. By extending the quantum action of the BV-formalism with an extra fermion vector field and a constant fermion parameter, the multiplicative character of the renormalizability is proven. The renormalization of all the physical parameters of the theory under consideration is shown to be gauge-independent.

Keywords

Cite

@article{arxiv.1902.09532,
  title  = {Gauge dependence and multiplicative renormalization of Yang-Mills theory with matter fields},
  author = {Igor A. Batalin and Peter M. Lavrov and Igor V. Tyutin},
  journal= {arXiv preprint arXiv:1902.09532},
  year   = {2019}
}

Comments

31 pages. arXiv admin note: text overlap with arXiv:1806.02552, v2: published version