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We present a reformulation of the background field method for Yang-Mills type theories, based on using a superalgebra of generators of BRST and background field transformations. The new approach enables one to implement and consistently use non-linear gauges in a natural way, by using the requirement of invariance of the fermion gauge-fixing functional under the background field transformations.
We show that in a spontaneously broken effective gauge field theory, quantized in a general background $R_xi$-gauge, also the background fields undergo a non-linear (albeit background-gauge invariant) field redefinition induced by radiative correctio
We use the background field method to systematically derive CFT data for the critical $phi^6$ vector model in three dimensions, and the Gross-Neveu model in dimensions $2leq d leq 4$. Specifically, we calculate the OPE coefficients and anomalous dime
We construct explicitly the canonical transformation that controls the full dependence (local and non-local) of the vertex functional of a Yang-Mills theory on a background field. After showing that the canonical transformation found is nothing but a
A new field theory formulation is presented for the analysis of the CMB power spectrum distribution in the cosmology. The background-field formalism is fully used. Stimulated by the recent idea of the {it emergent} gravity, the gravitational (metric)
Non-Abelian gauge theories with composite fields are examined in the background field method. Generating functionals of Greens functions for a Yang--Mills theory with composite and background fields are introduced, including the generating functional