https://doi.org/10.1140/epjc/s10052-019-7142-4
Regular Article - Theoretical Physics
Gauge dependence and multiplicative renormalization of Yang–Mills theory with matter fields
1
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
4
Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Campus Universitário-Juiz de Fora, Juiz de Fora, MG, 36036-900, Brazil
* e-mail: lavrov@tspu.edu.ru
Received:
4
March
2019
Accepted:
16
July
2019
Published online:
26
July
2019
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.
© The Author(s), 2019
