The background field method (BFM) for the Poisson Sigma Model (PSM) is studied as an example of the application of the BFM technique to open gauge algebras. The relationship with Seiberg-Witten maps arising in non-commutative gauge theories is clarified. It is shown that the implementation of the BFM for the PSM in the Batalin-Vilkovisky formalism is equivalent to the solution of a generalized ...

Using the general notions of Batalin, Fradkin, Fradkina and Tyutin to convert second class systems into first class ones, we present a gauge invariant formulation of the massive Yang-Mills theory by embedding it in an extended phase space. The infinite set of correction terms necessary for obtaining the involutive constraints and Hamiltonian is explicitly computed and expressed in a closed form...

We perform the BFV-BRST quantization of fourth-order Pais-Uhlenbeck oscillator (PUO) for first time. show that although PUO is not naturally constrained in sense Dirac-Bergmann, it possible to profit from introduction suitable constraints phase space order obtain a proper BRST invariant quantum system. Starting its second-class system description, we use BFFT formalism first-class as gauge symm...

We give a generally covariant description, in the sense of symplectic geometry, of gauge transformations in Batalin-Vilkovisky quantization. Gauge transformations exist not only at the classical level, but also at the quantum level, where they leave the action-weighted measure dμS ≡ dμe 2S/h̄ invariant. The quantum gauge transformations and their Lie algebra are h̄-deformations of the classical g...