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Related papers: BRST Quantization of the Proca Model based on the …

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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 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 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

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 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…

High Energy Physics - Theory · Physics 2015-06-26 N. Banerjee , R. Banerjee , S. Ghosh

Dirac formalism of Hamiltonian constraint systems is studied for the noncommutative Abelian Proca field. It is shown that the system of constraints are of second class in agreement with the fact that the Proca field is not guage invariant.…

High Energy Physics - Theory · Physics 2015-05-27 F. Darabi , F. Naderi

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 Batalin-Fradkin-Tyutin (BFT) scheme, which is an improved version of Dirac quantization, is applied to the $CP^1$ model, and the compact form of a nontrivial first-class Hamiltonian is directly obtained by introducing the BFT physical…

High Energy Physics - Theory · Physics 2009-10-31 Soon-Tae Hong , Young-Jai Park , Kuniharu Kubodera , Fred Myhrer

We generalize the method of superfield Lagrangian BRST quantization in the part of the gauge-fixing procedure and obtain a quantization method that can be considered as an alternative to the Batalin - Vilkovisky formalism.

High Energy Physics - Theory · Physics 2007-05-23 P. M. Lavrov , P. Yu. Moshin

By using the field-antifield formalism, we show that the method of Batalin, Fradkin, Fradkina and Tyutin to convert Hamiltonian systems submitted to second class constraints introduces compensating fields which do not belong to the BRST…

High Energy Physics - Theory · Physics 2015-06-26 Ricardo Amorim , Ronaldo Thibes

We show that the BFV quantization scheme can be implemented in the nonprojectable 2+1 Horava theory. This opens the possibility of imposing more general gauge conditions in the quantization of this theory. The BFV quantization is based on…

High Energy Physics - Theory · Physics 2021-03-23 Jorge Bellorin , Byron Droguett

Gauge theories that have been first quantized using the Hamiltonian BRST operator formalism are described as classical Hamiltonian BRST systems with a BRST charge of the form <\Psi,\Omega\Psi>_{even} and with natural ghost and parity…

High Energy Physics - Theory · Physics 2009-11-10 Glenn Barnich , Maxim Grigoriev

In the presence of consistent regulators, the standard procedure of BRST gauge fixing (or moving from one gauge to another) can require non-trivial modifications. These modifications occur at the quantum level, and gauges exist which are…

High Energy Physics - Theory · Physics 2009-10-28 P. H. Damgaard , F. De Jonghe , R. Sollacher

We quantize the Friedberg-Lee-Pang-Ren (FLPR) model within the framework of Batalin-Fradkin-Vilkovisky (BFV) formalism. We construct the nilpotent Becchi-Rouet-Stora-Tyutin (BRST) charges using constraints and the fermionic gauge-fixing…

High Energy Physics - Theory · Physics 2026-03-30 Ansha S. Nair , Saurabh Gupta

We analyse the constraints of an Abelian 2-form gauge theory using Faddeev-Jackiw symplectic formalism. Further, this theory is treated as a constrained system in the context of Batalin-Fradkin-Vilkovisky formalism to retrieve the BRST…

High Energy Physics - Theory · Physics 2013-11-26 Sudhaker Upadhyay

We propose a general method for deformation quantization of any second-class constrained system on a symplectic manifold. The constraints determining an arbitrary constraint surface are in general defined only locally and can be components…

High Energy Physics - Theory · Physics 2009-11-11 Igor Batalin , Maxim Grigoriev , Simon Lyakhovich

The physical phase space of the relativistic top, as defined by Hanson and Regge, is expressed in terms of canonical coordinates of the Poincar\'e group manifold. The system is described in the Hamiltonian formalism by the mass shell…

High Energy Physics - Theory · Physics 2014-11-18 N. K. Nielsen , U. J. Quaade

Following the symplectic approach we show how to embed the Abelian Proca model into a first-class system by extending the configuration space to include an additional pair of scalar fields, and compare it with the improved Dirac scheme. We…

High Energy Physics - Theory · Physics 2009-11-07 Soon-Tae Hong , Yong-Wan Kim , Young-Jai Park , K. D. Rothe

In this paper we show how the BRST quantization can be applied to systems possessing only second-class constraints through their conversion to some first-class ones starting with our method exposed in [Nucl.Phys. B456 (1995)473]. Thus, it…

High Energy Physics - Theory · Physics 2009-10-28 C. Bizdadea , S. O. Saliu

We study finite field dependent BRST-BFV transformations for dynamical systems with first- and second-class constraints within the generalized Hamiltonian formalism. We find explicitly their Jacobians and the form of a solution to the…

High Energy Physics - Theory · Physics 2015-07-16 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin
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