  We present a review of our recent study (A. Reshetnyak, IJMPA 29 (2014)
1450128; P. Moshin, A. Reshetnyak, Nucl. Phys. B 888 (2014) 92; Phys. Lett B
739 (2014) 110; IJMPA 29 (2014) 1450159; IJMPA 30 (2015) 1550021; IJMPA 31
(2016) 1650111), in which the concept of finite field-dependent BRST and
BRST-antiBRST transformations for gauge theories was introduced, and their
properties investigated. An algorithm of exact calculation for the Jacobian of
a respective change of variables in the path integral is presented.
Applications to the Yang--Mills theory and Standard Model, in view of infra-red
(Gribov) peculiarities, are discussed.
