We quantize the chiral Schwinger Model by using the Batalin-Tyutin formalism. We show that one can systematically construct the first class constraints and the desired involutive Hamiltonian, which naturally generates all secondary constraints. For a > 1, this Hamiltonian gives the gauge invariant Lagrangian including the well-known WessZumino terms, while for a = 1 the corresponding Lagrangian...

Algebraic properties of the Becchi-Rouet-Stora-Tyutin (BRST) symmetry associated to twisted gauge occurring in $\ensuremath{\kappa}$-Poincar\'e invariant theories on $\ensuremath{\kappa}$-Minkowski space are investigated. We find that BRST operation invariance action functional can be continuously deformed together with its corresponding Leibniz rule, into a nilpotent operation, leading algebra...

The Becchi–Rouet–Stora–Tyutin (BRST) ghost field is a key element in constructing Witten's cubic open string theory. However, to date, the sector of theory has not received great deal attention. In this study, we address BRST on multiple Dp -branes, which carries non-Abelian indices and couples gauge field. We found that massless components can play role Faddeev–Popov field, such maintains loca...

It is demonstrated that the recently proposed pseudoclassical model for Weyl particles [1] (D.M. Gitman, A.E. Gonçalves and I.V. Tyutin, Phys. Rev. D 50 (1994) 5439) is classically inconsistent. A possible way of removing the classical inconsistency of the model is proposed. PACS number(s): 11.10.Ef, 03.65.Pm e-mail: [email protected] On leave from the Institute for High Energy Physics, Pr...

The quantization of gauge-affine gravity within the superfiber bundle formalism is proposed. By introducing an even pseudotensorial 1-superform over a principal superfiber bundle with superconnection, we obtain the geometrical Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST transformations of the fields occurring in such a theory. Reducing the four-dimensional general affine group double-coverin...

The grading Becchi-Rouet-Stora-Tyutin (BRST) method gives a way to construct the integer W2,s strings, where the BRST charge is written as QB = Q0+Q1. In this paper, using this method, we reconstruct the nilpotent BRST charges Q0 for the integer W2,s strings and the half-integer W2,s strings. Then we construct the exact grading BRST charge with spinor fields and give the new realizations of the...

Non-Commutative (NC) effects in planar quantum mechanics are investigated. We have constructed a Master model for a noncommutative harmonic oscillator by embedding it in an extended space, following the Batalin-Tyutin [5] prescription. Different gauge choices lead to distinct NC structures, such as NC coordinates, NC momenta or noncommutativity of a more general kind. In the present framework, ...

In an alternative interpretation, the Seiberg-Witten map is shown to be induced by a field dependent co-ordinate transformation connecting noncommutative and ordinary space-times. Furthermore, following our previous ideas, it has been demonstrated here that the above (field dependent co-ordinate) transformation can occur naturally in the Batalin-Tyutin extended space version of the relativistic...

We show the existence of three infinite sets of independent, conserved charges in three dimensional inviscid fluid dynamics, with a density dependent potential term. Out of these, terms in two sets are in involution. The structures of the conserved currents in Clebsch variable representation are polynomial in nature. Relativistic generalization of the free system and the Batalin-Tyutin extensio...