Reducible gauge theories in local superfield Lagrangian BRST quantization

Local Superfield Lagrangian BRST Quantization

A θ-local formulation of superfield Lagrangian quantization in non-Abelian hypergauges is proposed on the basis of an extension of general reducible gauge theories to special superfield models with a Grassmann parameter θ. We solve the problem of describing the quantum action and the gauge algebra of an L-stage-reducible superfield model in terms of a BRST charge for a formal dynamical system w...

osp(1,2)-covariant Lagrangian quantization of reducible massive gauge theories

The osp(1, 2)-covariant Lagrangian quantization of irreducible gauge theories [1] is generalized to L-stage reducible theories. The dependence of the generating functional of Green’s functions on the choice of gauge in the massive case is discussed and Ward identities related to osp(1, 2) symmetry are given. Massive first-stage theories with closed gauge algebra are studied in detail. The gener...

BRST Quantization of Noncommutative Gauge Theories

In this paper, the BRST symmetry transformation is presented for the noncommutative U(N) gauge theory. The nilpotency of the charge associated to this symmetry is then proved. As a consequence for the space-like non-commutativity parameter, the Hilbert space of physical states is determined by the cohomology space of the BRST operator as in the commutative case. Further, the unitarity of the S-...

BRST quantization of anomalous gauge theories.

It is shown how the BRST quantization can be applied to a gauge invariant sector of theories with anomalously broken symmetries. This result is used to show that shifting the anomalies to a classically trivial sector of fields (Wess-Zumino mechanism) makes it possible to quantize the physical sector using a standard BRST procedure, as for a non anomalous theory. The trivial sector plays the rol...

BRST-quantization of gauge eld theories