https://doi.org/10.1140/epjc/s10052-019-7153-1
Regular Article - Theoretical Physics
Gauge invariance of the background average effective action
1
Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Juiz de Fora, MG, 36036-330, Brazil
2
Department of Mathematical Analysis, Tomsk State Pedagogical University, 634061, Tomsk, Russia
3
National Research Tomsk State University, 634050, Tomsk, Russia
4
Department of Physics, Southern University of Science and Technology, Shenzhen, 518055, China
* e-mail: shapiro@fisica.ufjf.br
Received:
23
May
2019
Accepted:
17
July
2019
Published online:
7
August
2019
Using the background field method for the functional renormalization group approach in the case of a generic gauge theory, we study the background field symmetry and gauge dependence of the background average effective action, when the regulator action depends on external fields. The final result is that the symmetry of the average effective action can be maintained for a wide class of regulator functions, but in all cases the dependence of the gauge fixing remains on-shell. The Yang–Mills theory is considered as the main particular example.
© The Author(s), 2019
