It is known that the elimination of anomalies in all orders perturbation theory an open problem. The constraints given by usual invariance properties and Wess–Zumino identities are not enough to eliminate general case a Yang–Mills theory. So, any new symmetry model could restrict further be solution We consider anti-BRST transform Ojima causal approach investigate if such restrictions obtained....

We combine a recent construction of Becchi-Rouet-Stora-Tyutin (BRST)-invariant, nonlinear massive gauge fixing with the background field formalism. The resulting generating functional preserves background-field invariance as well BRST quantum manifestly. features BRST-invariant mass parameters for and ghost fields. formalism employs Nakanishi-Lautrup which is part gauge-fixing sector thus shoul...

A bstract We provide the all-loop structure of gauge-variant operators required for renormalisation Green’s functions with insertions twist-two in Yang-Mills theory. Using this we work out an explicit basis valid up to 4-loop order arbitrary compact simple gauge group. To achieve employ a generalised symmetry, originally proposed by Dixon and Taylor, which arises after adding Lagrangian also pr...

A bstract Motivated by the results of Anastasiou et al., we consider convolutional double copy for BRST and anti-BRST covariant formulations gravitational gauge theories in more detail. We give a general invariant formulation linearised $$ \mathcal{N} N = 0 supergravity using superspace methods show how this ...

The entire geometric formulations of the BRST and anti-BRST structures are worked out in presence Nakanishi–Lautrup field. It is shown that general form gauge fixing mechanisms within Faddeev–Popov quantization approach, invariance reflects thoroughly classical symmetry Yang–Mills theories with respect to methods. field also defined as a object. This formulation helps us introduce two absolutel...

We quantize a particle confined to move on torus knot satisfying constraint condition ( $$p\theta +q\phi ) \approx 0$$ , within the context of geometrically motivated approach—the Faddeev–Jackiw formalism. also deduce spectrum and discern basic brackets theory. further reformulate original gauge non-invariant theory into physically equivalent theory, which is free from any additional Wess–Zumin...