https://doi.org/10.1140/epjc/s10052-018-6003-x
Regular Article - Theoretical Physics
BRST-BV quantization of gauge theories with global symmetries
1
Center of Theoretical Physics, Tomsk State Pedagogical University, Kievskaya St. 60, 634061, Tomsk, Russia
2
National Research Tomsk State University, Lenin Av. 36, 634050, Tomsk, Russia
3
Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Campus Universitário, Juiz de Fora, MG, 36036-900, Brazil
* e-mail: lavrov@tspu.edu.ru
Received:
28
February
2018
Accepted:
17
June
2018
Published online:
26
June
2018
We consider the general gauge theory with a closed irreducible gauge algebra possessing the non-anomalous global (super)symmetry in the case when the gauge fixing procedure violates the global invariance of classical action. The theory is quantized in the framework of BRST-BV approach in the form of functional integral over all fields of the configuration space. It is shown that the global symmetry transformations are deformed in the process of quantization and the full quantum action is invariant under such deformed global transformations in the configuration space. The deformed global transformations are calculated in an explicit form in the one-loop approximation.
© The Author(s), 2018
