We study the constraint structure of the topologically massive theory with oneand two-form fields in the framework of BatalinFradkin-Tyutin embedding procedure. Through this analysis we obtain a new type of Wess-Jumino action with novel symmetry, which is originated from the topological coupling term, as well as the Stückelberg action related to the explicit gauge breaking mass terms from the o...

We discuss various symmetry properties of the reparametrization invariant toy model of a free non-relativistic particle and show that its commutativity and noncommu-tativity (NC) properties are the artifact of the underlying symmetry transformations. By exploiting the Becchi-Rouet-Stora-Tyutin (BRST) symmetry transformations, we demonstrate the existence of the NC and show its cohomological equ...

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. The work is in the spirit of our earlier works in this connection, i.e. PLB 618 (2005)243 and PLB 623 (2005)251. This non-linear and operatorial nature of the configuration space coordinate algebra can pose problems regarding its quantiz...

We show that the double copy of gauge theory amplitudes to $\mathcal{N}=0$ supergravity extends from tree level loop level. first explain color-kinematics duality is a condition for Becchi-Rouet-Stora-Tyutin operator and action field with cubic interaction terms consistent theory. then apply this argument Yang-Mills theory, where known be satisfied on shell at Finally, we latter restriction can...

Following systematically the generalized Hamiltonian approach of Batalin, Fradkin and Tyutin (BFT), we embed the second-class non-abelian SU(2) Higgs model in the unitary gauge into a gauge invariant theory. The strongly involutive Hamiltonian and constraints are obtained as an infinite power series in the auxiliary fields. Furthermore, comparing these results with those obtained from the gauge...

We quantise the O(N) nonlinear sigma model using the Batalin Tyutin (BT) approach of converting a second class system into first class. It is a nontrivial application of the BT method since the quanti-sation of this model by the conventional Dirac procedure suffers from operator ordering ambiguities. The first class constraints, the BRST Hamiltonian and the BRST charge are explicitly computed. ...

Taking the Stückelberg Lagrangian associated with the abelian selfdual model of P. K. Townsend et al as a starting point, we embed this mixed firstand second-class system into a pure first-class system by following systematically the generalized Hamiltonian approach of Batalin, Fradkin and Tyutin. The resulting Lagrangian possesses an extended gauge invariance and provides a non-trivial example...

The generalization of the pinch technique to all orders in perturbation theory is presented. The effective Green’s functions constructed with this procedure are singled out in a unique way through the full exploitation of the underlying Becchi-Rouet-Stora-Tyutin symmetry. A simple all-order correspondence between the pinch technique and the background field method in the Feynman gauge is establ...

Following systematically the generalized Hamiltonian approach of Batalin, Fradkin and Tyutin, we embed the second-class non-abelian self-dual model of P. K. Townsend et al into a gauge theory. The strongly involutive Hamiltonian and constraints are obtained as an infinite power series in the auxiliary fields. By formally summing the series we obtain a simple interpretation for the first-class H...