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Related papers: On the BFFT quantization of first order systems

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We use the method due to Batalin, Fradkin, Fradkina, and Tyutin (BFFT) in order to convert second-class into first-class constraints for some quantum mechanics supersymmetric theories. The main point to be considered is that the extended…

High Energy Physics - Theory · Physics 2009-10-30 J. Barcelos-Neto , W. Oliveira

The BRST quantization of particle motion on the hypersurface $V_{(N-1)}$ embedded in Euclidean space $R_N$ is carried out both in Hamiltonian and Lagrangian formalism. Using Batalin-Fradkin-Fradkina-Tyutin (BFFT) formalism, the second class…

High Energy Physics - Theory · Physics 2022-05-30 Vipul Kumar Pandey

We apply newly improved Batalin-Fradkin-Tyutin Hamiltonian method to the chiral Schwinger Model in the case of the regularization ambiguity $a>1$. We show that one can systematically construct the first class constraints by the BFT…

High Energy Physics - Theory · Physics 2008-11-26 Won Tae Kim , Yong-Wan Kim , Mu-In Park , Young-Jai Park , Sean J. Yoon

We consider the method due to Batalin, Fradkin, Fradkina, and Tyutin (BFFT) that makes the conversion of second-class constraints into first-class ones for the case of nonlinear theories. We first present a general analysis of an attempt to…

High Energy Physics - Theory · Physics 2009-10-30 J. Barcelos-Neto

A two dimensional model of chiral bosons in non-commutative field space is considered in the framework of the Batalin-Fradkin-Tyutin (BFT) Hamiltonian embedding method converting the second-class constrained system into the first-class one.…

High Energy Physics - Theory · Physics 2008-11-26 Wontae Kim , Young-Jai Park , Hyeonjoon Shin , Myung Seok Yoon

The BRST quantization of the Abelian Proca model is performed using the Batalin-Fradkin-Tyutin and the Batalin-Fradkin-Vilkovisky formalism. First, the BFT Hamiltonian method is applied in order to systematically convert a second class…

High Energy Physics - Theory · Physics 2009-10-30 Yong-Wan Kim , Mu-In Park , Young-Jai Park , Sean J. Yoon

We apply the Batalin-Tyutin Hamiltonian method to the Abelian Proca model in order to convert a second class constraint system into a first class one systematically by introducing the new fields. Then, according to the BFV formalism we…

High Energy Physics - Theory · Physics 2008-02-03 Sean J. Yoon , Yong-Wan Kim , Young-Jai Park

We study the relation between the lagrangian field-antifield formalism and the BRST invariant phase space formulation of gauge theories. Starting from the Batalin-Fradkin-Vilkovisky unitarized action, we demonstrate in a deductive way the…

High Energy Physics - Theory · Physics 2009-11-18 Heinz J. Rothe , Klaus D. Rothe

The quantum action principle of renormalisation theory is applied to the antibracket-antifield formalism for Hamiltonian systems. General results on the local BRST cohomology allow one to prove that the anomalies appear in the time…

High Energy Physics - Theory · Physics 2009-10-22 G. Barnich

We newly apply the improved Batalin-Fradkin-Tyutin(BFT) Hamiltonian method to the O(3) nonlinear sigma model, and directly obtain the compact form of nontrivial first class Hamiltonian by introducing the BFT physical fields. Furthermore,…

High Energy Physics - Theory · Physics 2009-10-31 Soon-Tae Hong , Won Tae Kim , Young-Jai Park

The collective coordinates expansion of the Skyrme soliton particle model gives rise to the second class constraints. We use the non-abelian BFFT formalism to convert this system into the one with only first class constraints. Choosing two…

High Energy Physics - Theory · Physics 2009-10-31 Wilson Oliveira , Jorge Ananias Neto

The embedding procedure of Batalin, Fradkin, and Tyutin, which allows to convert a second-class system into first-class, is pushed beyond the formal level. We explicitly construct, in all cases, the variables of the converted first-class…

High Energy Physics - Theory · Physics 2014-11-18 M. Fleck , H. O. Girotti

The procedure for Abelian conversion of second class constraints due to Batalin, Fradkin, Fradkina and Tyutin is considered at quantum level, by using the field-antifield formalism. It is argued that quantum effects can obstruct the…

High Energy Physics - Theory · Physics 2007-05-23 Ricardo Amorim , Ronaldo Thibes

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 {\it nontrivial} application of the BT method since the quantisation of this model by the…

High Energy Physics - Theory · Physics 2009-10-22 N. Banerjee , Subir Ghosh , R. Banerjee

We apply an improved version of Batalin-Fradkin-Tyutin (BFT) Hamiltonian method to the a=1 chiral Schwinger Model, which is much more nontrivial than the a>1.$ one. Furthermore, through the path integral quantization, we newly resolve the…

High Energy Physics - Theory · Physics 2008-11-26 Mu-In Park , Young-Jai Park , Sean J. Yoon

We worked out the Batalin-Fradkin-Tyutin (BFT) conversion program of second class constraints to first class constraints in the GS superstring using light cone coordinates. By applying this systematic procedure we were able to obtain a…

High Energy Physics - Theory · Physics 2009-11-11 Alejandro Gaona , J. Antonio Garcia

We consider the minimal chiral Schwinger model, by embedding the gauge noninvariant formulation into a gauge theory following the Batalin-Fradkin-Fradkina-Tyutin point of view. Within the BFFT procedure, the second class constraints are…

High Energy Physics - Theory · Physics 2007-05-23 C. P. Natividade , H. Boschi-Filho , L. V. Belvedere

We consider the quantum mechanical analog of the nonlinear sigma model. There are difficulties to completely embed this theory by directly using the Batalin, Fradkin, Fradkina, and Tyutin (BFFT) formalism. We show in this paper how the BFFT…

High Energy Physics - Theory · Physics 2007-05-23 R. Amorim , J. Barcelos-Neto , C. Wotzasek

We present the newly improved Batalin-Fradkin-Tyutin (BFT) Hamiltonian formalism and the generalization to the Lagrangian formulation, which provide the much more simple and transparent insight to the usual BFT method, with application to…

High Energy Physics - Theory · Physics 2009-10-30 Mu-In Park , Young-Jai Park

We apply the BFFT formalism to a prototypical second-class system, aiming to convert its constraints from second- to first-class. The proposed system admits a consistent initial set of second-class constraints and an open potential function…

High Energy Physics - Theory · Physics 2021-03-10 Vipul Kumar Pandey , Ronaldo Thibes
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