Eur. Phys. J. C (2018) 78: 570
https://doi.org/10.1140/epjc/s10052-018-6031-6

Regular Article - Theoretical Physics

Multiplicative renormalization of Yang–Mills theories in the background-field formalism

¹ P.N. Lebedev Physical Institute, Leninsky Prospect 53, 119 991, Moscow, Russia
² Tomsk State Pedagogical University, Kievskaya St. 60, 634061, Tomsk, Russia
³ National Research Tomsk State University, Lenin Av. 36, 634050, Tomsk, Russia

^* e-mail: lavrov@tspu.edu.ru

Received: 13 June 2018
Accepted: 27 June 2018
Published online: 12 July 2018

Abstract

In the paper, within the background field method, the structure of renormalizations is studied as for Yang–Mills fields interacting with a multiplet of spinor fields. By extending the Faddeev–Popov action with extra fields and parameters, one is allowed to establish the multiplicative character of the renormalizability. The renormalization of the physical parameters is shown to be gauge-independent.