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In this paper, the Hamiltonian structure of the bosonized chiral Schwinger model (BCSM) is analyzed. From the consistency condition of the constraints obtained from the Dirac method, we can observe that this model presents, for certain…

We quantize the spontaneously broken abelian U(1) Higgs model by using the improved BFT and BFV formalisms. We have constructed the BFT physical fields, and obtain the first class observables including the Hamiltonian in terms of these…

High Energy Physics - Theory · Physics 2009-10-30 Yong-Wan Kim , Young-Jai Park

With the Becchi-Rouet-Stora-Tyutin (BRST) quantization of gauge theory, we solve the long-standing difficult problem of the local constraint conditions, i.e., the single occupation of a slave particle per site, in the slave particle theory.…

Strongly Correlated Electrons · Physics 2023-09-06 Xi Luo , Jianqiao Liu , Yue Yu

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…

High Energy Physics - Theory · Physics 2009-10-30 Yong-Wan Kim , K. D. Rothe

BRST-BFV method for constrained Lagrangian formulations (LFs) for (ir)reducible half-integer HS Poincare group representations in Minkowski space is suggested. The procedure is derived by 2 ways: from the unconstrained BRST-BFV method for…

High Energy Physics - Theory · Physics 2018-10-09 Alexander Reshetnyak

The extended phase space method of Batalin, Fradkin and Vilkovisky is applied to formulate two dimensional gravity in a general class of gauges. A BRST formulation of the light-cone gauge is presented to reveal the relationship between the…

High Energy Physics - Theory · Physics 2015-06-26 T. Fujiwara , T. Tabei , Y. Igarashi , K. Maeda , J. Kubo

The Batalin-Vilkovisky formalism is applied to quantise the ${\cal N}=1$ supersymmetric generalisation of the Freedman-Townsend (FT) model, which was proposed by Lindstr\"om and Ro\v{c}ek in 1983 in Minkowski superspace and is lifted to a…

High Energy Physics - Theory · Physics 2024-06-25 Sergei M. Kuzenko , Emmanouil S. N. Raptakis

A superspace formulation for the Batalin Vilkovisky formalism (also called field-antifield quantization ) with extended BRST invariance (BRST and anti-BRST invariance ) for gauge theories with closed algebra is presented. In contrast to a…

High Energy Physics - Theory · Physics 2008-11-26 Nelson R. F. Braga , Sergio M. de Souza

The Einstein-Hilbert action in the context of Higher derivative theories is considered for finding out their BRST symmetries. Being a constraint system, the model is transformed in the minisuperspace language with the FRLW background and…

High Energy Physics - Theory · Physics 2016-07-19 Sudhaker Upadhyay , Biswajit Paul

A constrained BRST-BV Lagrangian formulation for totally symmetric massless HS fields in a $d$-dimensional Minkowski space is extended to a non-minimal constrained BRST-BV Lagrangian formulation by using a non-minimal BRST operator…

High Energy Physics - Theory · Physics 2021-03-05 Čestmir Burdík , Alexander A. Reshetnyak

We study some reparametrization invariant theories in context of the BRST-co-BRST quantization method. The method imposes restrictions on the possible gauge fixing conditions and leads to well defined inner product states through a gauge…

High Energy Physics - Theory · Physics 2009-10-30 Geza Fulop

We present BRST gauge fixing approach to quantum mechanics in phase space. The theory is obtained by $\hbar$-deformation of the cohomological classical mechanics described by d=1, N=2 model. We use the extended phase space supplied by the…

High Energy Physics - Theory · Physics 2007-05-23 A. K. Aringazin

We convert the second class Proca model into a first class theory by using the generalised prescription of Batalin, Fradkin and Tyutin. We then show how a basic set of gauge invariant fields in the embedded model can be identified with the…

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

A generalized version is proposed for the field-antifield formalism. The antibracket operation is defined in arbitrary field-antifield coordinates. The antisymplectic definitions are given for first- and second-class constraints. In the…

High Energy Physics - Theory · Physics 2008-11-26 I. A. Batalin , I. V. Tyutin

We obtain the various forms of BRST symmetry by using the Batalin-Fradkin-Vilkovisky formalism in a prototypical first class system. We have shown that the various forms of symmetry can be obtained through canonical transformation in the…

High Energy Physics - Theory · Physics 2025-06-02 Sumit Kumar Rai , Bhabani Prasad Mandal , Ronaldo Thibes

The generalized version of a lower dimensional model where vector and axial vector interaction get mixed up with different weight is considered. The bosonized version of which does not posses the local gauge symmetry. An attempt has been…

High Energy Physics - Theory · Physics 2016-11-22 Anisur Rahaman , Safia Yasmin

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 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

Any regular quantum mechanical system may be cast into an abelian gauge theory by simply reformulating it as a reparametrization invariant theory. We present a detailed study of the BRST quantization of such reparametrization invariant…

High Energy Physics - Theory · Physics 2007-05-23 Robert Marnelius , Niclas Sandstrom

There is an elaborated abstract form of BRST quantization on inner product spaces within the operator formalism which leads to BRST invariant states of the form |ph>=e^{[Q,\psi]} |\phi> where \psi is a gauge fixing fermion, and where |\phi>…

High Energy Physics - Theory · Physics 2009-10-31 Robert Marnelius , Niclas Sandstrom
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