Composite and Background Fields in Non-Abelian Gauge Models

Pavel Yu. Moshin, Alexander A. Reshetnyak
2020 Symmetry  
A joint introduction of composite and background fields into non-Abelian quantum gauge theories is suggested based on the symmetries of the generating functional of Green's functions, with the systematic analysis focused on quantum Yang–Mills theories, including the properties of the generating functional of vertex Green's functions (effective action). For the effective action in such theories, gauge dependence is found in terms of a nilpotent operator with composite and background fields, and
more » ... ground fields, and on-shell independence from gauge fixing is established. The basic concept of a joint introduction of composite and background fields into non-Abelian gauge theories is extended to the Volovich–Katanaev model of two-dimensional gravity with dynamical torsion, as well as to the Gribov–Zwanziger theory.
doi:10.3390/sym12121985 fatcat:3cvisbzrszgmlky75y7jmcgljy