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 Hamiltonian (Batalin-Tyutin) frameworks, the...

The (2+1) dimensional nonabelian Chern-Simons theory coupled to complex scalar fields is quantized by using the Batalin-Tyutin canonical Hamiltonian method which systematically embeds second-class constraint system into first-class one. We obtain the gauge-invariant nonabelian Wess-Zumino type action in the extended phase space. ∗ E-mail address : [email protected] † E-mail address : yjpark@...

We apply the embedding method of Batalin-Tyutin for revealing noncommutative structures in the generalized Landau problem. Different types of noncommutativity follow from different gauge choices. This establishes a duality among the distinct algebras. An alternative approach is discussed which yields equivalent results as the embedding method. We also discuss the consequences in the Landau prob...

We give a new Becchi-Rouet-Stora-Tyutin operator for the superstring. It implies a quadratic gauge-fixed action, and a new gauge-invariant action with first-class constraints. The infinite pyramid of spinor ghosts appears in a simple way through ghost gamma matrices. [email protected] and [email protected]

I construct a nilpotent symmetry of gauge theories, similar to the BecchiRouet-Stora-Tyutin symmetry. This symmetry depends on the gauge-fixing fermion, and for linear gauges can be elevated to a symmetry of the quantum theory and used in the construction of the quantum effective action. PACS 11.15.-q, 11.15.Bt, 11.10.Gh Typeset using REVTEX

We show that the harmonic Becchi-Rouet-Stora-Tyutin method of quantizing bosonic systems with second-class constraints or first-class holomorphic constraints extends to systems having both bosonic and fermionic second-class or first-class holomorphic constraints. Using a limit argument, we show that the harmonic BRST modified path integral reproduces the correct Senjanovic measure.

In a two-dimensional AdS space, dynamical boundary of space was described by one-dimensional quantum-mechanical Hamiltonian with coupling between the bulk and system. this paper, we present Lagrangian corresponding to through Legendre transformation constraint. Dirac's constraint analysis, find two primary constraints without secondary constraints; however, they are fully second-class. order ma...