On classical and quantum deformations of gauge theories

Abstract We elaborate the generalizations of approach to gauge-invariant deformations gauge theories developed in our previous work (Buchbinder and Lavrov JHEP 06:097, 2021). In given paper we construct exact transformations defying deformed theory on base initial with irreducible open algebra. Like [1], for algebras these are shifts fields $$A \rightarrow A+h(A)$$ A ? + h ( ) , help arbitrary general non-local functions h ( A ). The results applied study quantum aspects theories. derive relation between effective actions above classical theories, where one is obtained from another deformation.