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Related papers: The BFT Method With Chain Structure

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We newly revisit the gauge non-invariant chiral Schwinger model with a=1 in view of the chain structure. As a result, we show that the Dirac brackets can be easily read off from the exact symplectic algebra of second-class constraints.…

High Energy Physics - Theory · Physics 2009-11-11 Yong-Wan Kim , Ee Chang-Young , Seung-Kook Kim , Young-Jai Park

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 analyze the Hamiltonian structure of an extended chiral bosons theory in which the self-dual constraint is introduced via a control $\alpha$-parameter. The system has two second-class constraints in the non-critical regime and an…

High Energy Physics - Theory · Physics 2024-01-15 Gabriella V. Ambrosio , Cleber N. Costa , Paulo R. F. Alves , Jorge Ananias Neto , Ronaldo Thibes

Chiral Schwinger model with the Faddeevian anomaly is considered. It is found that imposing a chiral constraint this model can be expressed in terms of chiral boson. The model when expressed in terms of chiral boson remains anomalous and…

High Energy Physics - Theory · Physics 2010-09-28 Anisur Rahaman , Safia Yasmin , Sahazada Aziz

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

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 apply the Batalin-Fradkin-Tyutin (BFT) method to the SU(2) Skyrmion to study the full symmetry structure of the model at the first class Hamiltonian level. On the other hand, we also analyze the symmetry structure of the action having…

High Energy Physics - Phenomenology · Physics 2009-10-31 Soon-Tae Hong , Yong-Wan Kim , Young-Jai Park

We have proposed a method in the context of BFFT approach that leads to truncation of the infinite series regarded to constraints in the extended phase space, as well as other physical quantities (such as Hamiltonian). This has been done…

High Energy Physics - Theory · Physics 2009-11-10 M. Monemzadeh , A. Shirzad

A gauge independent method of obtaining the reduced space of constrained dynamical systems is discussed in a purely lagrangian formalism. Implications of gauge fixing are also considered.

High Energy Physics - Theory · Physics 2007-05-23 R. Banerjee

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…

High Energy Physics - Theory · Physics 2007-05-23 Jung-Ho Cha , Yong-Wan Kim , Young-Jai Park , Yongduk Kim , Seung-Kook Kim , Won T. Kim

In a recent work we showed that for a Hamiltonian system with constraints, the set of constraints can be investigated in first and second class constraint chains. We show here that using this "chain by chain" method for an arbitrary system…

High Energy Physics - Theory · Physics 2007-05-23 A Shirzad , F Loran

We systematically embed the SU(2)$\times$U(1) Higgs model in the unitary gauge into a fully gauge-invariant theory by following the generalized BFT formalism. We also suggest a novel path to get a first-class Lagrangian directly from the…

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

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

We show how to systematically derive the exact form of local symmetries for the abelian Proca and CS models, which are converted into first class constrained systems by the BFT formalism, in the Lagrangian formalism. As results, without…

High Energy Physics - Theory · Physics 2009-10-31 Yong-Wan Kim , Seung-Kook Kim , Young-Jai Park

We investigate a proposal for the construction of models with chiral fermions on the lattice using staggered fermions. In this approach the gauge invariance is broken by the coupling of the staggered fermions to the gauge fields. We aim at…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

The Information Bottleneck (IB) principle has emerged as a promising approach for enhancing the generalization, robustness, and interpretability of deep neural networks, demonstrating efficacy across image segmentation, document clustering,…

Information Theory · Computer Science 2025-04-18 Hanzhe Yang , Youlong Wu , Dingzhu Wen , Yong Zhou , Yuanming Shi

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 propose a modification of the gauge-fixing procedure in the Lagrangian method of superfield BRST quantization for general gauge theories which simultaneously provides a natural generalization of the well-known BV quantization scheme as…

High Energy Physics - Theory · Physics 2009-10-31 Bodo Geyer , Petr M. Lavrov , Pavel Yu. Moshin

We find that Siegel type chiral boson with a parameter-dependent Lorentz non-covariant masslike term for the gauge fields to be equivalent to the chiral Schwinger model with one parameter class of Faddeevian anomaly if the model is…

High Energy Physics - Theory · Physics 2022-08-02 Anisur Rahaman

We consider a generic gauge system, whose physical degrees of freedom are obtained by restriction on a constraint surface followed by factorization with respect to the action of gauge transformations; in so doing, no Hamiltonian structure…

High Energy Physics - Theory · Physics 2011-09-29 S. L. Lyakhovich , A. A. Sharapov
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