We introduce a background gauge akin to the Landau-DeWitt but deformed by presence of parameter for quantization Euclidean Yang-Mills theories. In limit where field vanishes, standard linear covariant gauges are recovered. This allows an explicit investigation effects infinitesimal Gribov copies and their impact dependence physical correlators. Similarly gauges, introduction gauge-invariant dre...

The Becchi-Rouet-Stora-Tyutin (BRST) treatment for the quantization of collective coordinates is considered in the Lagrangian formalism. The motion of a particle in a Riemannian manifold is studied in the case when the classical solutions break a non-abelian global invariance of the action. Collective coordinates are introduced, and the resulting gauge theory is quantized in the BRST antifield ...

We provide a very simple prescription for inserting an arbitrary state into a string amplitude. The corresponding string measure is defined without any additional information whenever the state is BecchiRouet-Stora-Tyutin (BRST) invariant, generalizing the usual physical conditions. In particular no world-sheet metric is needed. We recover and interpret in a simple way the b^ prescription of Po...

The Becchi-Rouet-Stora-Tyutin (BRST) method is applied to the quantization of the solitons of the non-linear O(3) model in 2+1 dimensions. We show that this method allows for a simple and systematic treatment of zero-modes with a non-commuting algebra. We obtain the expression of the BRST hamiltonian and show that the residual interaction can be perturbatively treated in an IR-divergence-free w...

We quantize the chiral Schwinger Model by using the Batalin-Tyutin formalism. We show that one can systematically construct the rst class constraints and the desired involutive Hamiltonian, which naturally generates all secondary constraints. For a > 1, this Hamiltonian gives the gauge invariant Lagrangian including the well-known WessZumino terms, while for a = 1 the corresponding Lagrangian h...

We discuss both the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for cosmological Friedmann-Robertson-Walker (FRW) model with a differential gauge condition in extended phase space. In this discussion, presence of provides complete geometrical description BRST within ambit supervariable approach. derive conserved (anti-)BRST charges FRW using celeb...