We discuss some aspects of the topological features of a non-interacting two (1 + 1)-dimensional Abelian gauge theory in the framework of superfield formalism. This theory is described by a BRST invariant Lagrangian density in the Feynman gauge. We express the local and continuous symmetries, Lagrangian density, topological invariants and symmetric energy momentum tensor of this theory in the l...

The relationship is established between the Fedosov deformation quantization of a general symplectic manifold and the BFV-BRST quantization of constrained dynamical systems. The original symplectic manifold M is presented as a second class constrained surface in the fibre bundle T * ρ M which is a certain modification of a usual cotangent bundle equipped with a natural symplectic structure. The...

We discuss various symmetry properties of the Lagrangian density of a four (3 + 1)-dimensional (4D) free Abelian 2-form gauge theory within the framework of BecchiRouet-Stora-Tyutin (BRST) formalism. The present free Abelian gauge theory is endowed with a Curci-Ferrari type condition which happens to be a key signature of the 4D nonAbelian 1-form gauge theory. In fact, it is due to the above co...

The BRST quantization of a gauge theory in noncommutative geometry is carried out in the “matrix derivative” approach. BRST/anti-BRST transformation rules are obtained by applying the horizontality condition, in the superconnection formalism. A BRST/anti-BRST invariant quantum action is then constructed, using an adaptation of the method devised by Baulieu and Thierry-Mieg for the Yang-Mills ca...

In the extended antifield formalism, a quantum BRST differential for anomalous gauge theories is constructed. Local BRST cohomological classes are characterized, besides the form degree and the ghost number, by the length of their descents and of their lifts, and this both in the standard and the extended antifield formalism. It is shown that during the BRST invariant renormalization of a local...

One-loop renormalization of the Yang-Mills theory with BRST-invariant mass term. Abstract Divergent part of the one-loop effective action for the Yang-Mills theory in a special gauge containing forth degrees of ghost fields and allowing addition of BRST-invariant mass term is calculated by the generalized t'Hooft-Veltman technique. The result is BRST-invariant and defines running mass, coupling...

Field theory on CP1 with Chern-Simons term is analyzed classically and then quantized. The constrained system is disentangled using the elegant BRST method. The quantum Hamiltonian, the BRST charge and the anti-BRST charge are derived. Application to a recently proposed model with principal chiral fields is elaborated. Submitted to Physical Review D *Work supported by the Department of Energy, ...

We present a general argument for the construction of BRST charges of the BRST charges for a kind of soft-type algebras which can be constructed from two

We construct the BRST cohomology under a positive-definite inner product and obtain the Hodge decomposition theorem at a non-degenerate state vector space V . The harmonic states isomorphic with a BRST cohomology class correspond to the physical Hilbert space with positive norm as long as the completeness of QBRST is satisfied. We explicitly define a “co-BRST” operator and analyze the quartet m...

We have obtained the nilpotent BRST symmetry of Yang-Mills theory restricted to the Gribov region. In fact, we give a modified BRST transformation that leaves the Gribov-Zwanziger action invariant and obeys the nilpotency, although the usual BRST symmetry is broken due to the non-vanishing Gribov parameter representing the presence of the Gribov horizon in the configuration space of the Yang-Mi...