In this Letter we have proposed a point particle model that generates a noncommutative three-space, with the coordinate brackets being Lie algebraic in nature, in particular isomorphic to the angular momentum algebra. The work is in the spirit of our earlier works in this connection, i.e. PLB 618 (2005)243 and PLB 623 (2005)251, where the κ-Minkowski form of noncomutative spacetime was consider...

We quantize the Chern-Simons-Proca theory in three dimensions by using the Batalin-Tyutin Hamiltonian method, which systematically embeds second class constraint system into first class by introducing new fields in the extended phase space. As results, we obtain simultaneously the Stückelberg scalar term, which is needed to cancel the gauge anomaly due to the mass term, and the new type of Wess...

We review the Batalin-Tyutin approach of quantising second class systems which consists in enlarging the phase space to convert such systems into first class. The quantisation of first class systems, it may be mentioned, is already well founded. We show how the usual analysis of Batalin-Tyutin may be generalised, particularly if one is dealing with nonabelian theories. In order to gain a deeper...

Conditions which must be satisfied by the gauge-fixing fermion χ used in the BRST quantisation of constrained systems are established. These ensure that the extension of the Hamiltonian by the gaugefixing term [Ω, χ] (where Ω is the BRST charge) gives the correct path integral. In canonical BRST quantisation (particularly the path-integral approach developed by Batalin, Fradkin, Fradkina and Vi...

Conditions which must be satisfied by the gauge-fixing fermion χ used in the BRST quantisation of constrained systems are established. These ensure that the extension of the Hamiltonian by the gaugefixing term [Ω, χ] (where Ω is the BRST charge) gives the correct path integral. In canonical BRST quantisation (particularly the path-integral approach developed by Batalin, Fradkin, Fradkina and Vi...

A " Master " gauge theory is constructed in 2+1-dimensions through which various gauge invariant and gauge non-invariant theories can be studied. In particular, Maxwell-Chern-Simons, Maxwell-Proca and Maxwell-Chern-Simons-Proca models are considered here. The Master theory in an enlarged phase space is constructed both in Lagrangian (Stuckelberg) and Hamil-tonian (Batalin-Tyutin) frameworks, th...