Constraint structure of O(3) nonlinear sigma model revisited

Hong, Soon-Tae; Park, Young-Jai; Rothe, K. D.

doi:10.1088/0305-4470/36/6/309

Cited by 10 publications

(7 citation statements)

References 47 publications

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“…Most papers about these models are focused on the consistent canonical quantization and their quantum spectrum. This family of models were considered in several approaches including: the symplectic embedding [8,9,10,11], the BFT formalism [9,12,13,17,14,15,16], Stuckelberg field shifting [19,18] or mixed approaches based on first principles of the making gauge systems [9,18,20,21,22].…”

Section: Introductionmentioning

confidence: 99%

First class models from linear and nonlinear second class constraints

et al. 2015

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Two models with linear and nonlinear second class constraints are considered and gauged by embedding in an extended phase space. These models are studied by considering a free non-relativistic particle on the hyper plane and hyper sphere in the configuration space. The gauged theory of the first model is obtained by converting the very second class system to the first class one, directly. In contrast, the first class system related to the free particle on the hyper sphere is derived with the help of the infinite BFT embedding procedure. We propose a practical formula, based on the simplified BFT method, which is practical in gauging linear and some nonlinear second class systems. As a result of gauging these two models, we show that in the conversion of second class constraints to the first class ones, the minimum number of phase space degrees of freedom for both systems is a pair of phase space coordinates. This pair is made up of a coordinate and its conjugate momentum for the first model, but the corresponding Poisson structure of the embedded non-relativistic particle on hyper sphere is a non-trivial one. We derive infinite correction terms for the Hamiltonian of the nonlinear constraints and an interacting gauged Hamiltonian is constructed by summing over them. At

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Section: Introductionmentioning

confidence: 99%

First class models from linear and nonlinear second class constraints

et al. 2015

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“…Recently, the gauge symmetry enhancement was studied [13] on target space of Grassmann manifold in the Dirac Hamiltonian formalism, and the BRST invariant effective Lagrangian was also realized in noncommutative D-brane system with NS B-field [14]. To show novel phenomenological aspects [15], the compact form of the first-class Hamiltonian has been also constructed [16] for the O(3) nonlinear sigma model, which has been also studied [17] to investigate the symplectic structures [18] and BFT embeddings.…”

Section: Introductionmentioning

confidence: 99%

BRST Symmetries in Free Particle System on Toric Geometry

Hong

2005

Mod. Phys. Lett. A

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“…This symplectic scheme was applied to numbers of models [63][64][65][66][67][68][69][70][71][72][73] and was recently used to implement the improved Diracwith NS magnetic field [45,55]. To show novel phenomenological aspects [83][84][85][86], compact form of the first class Hamiltonian was constructed [43] for O(3) nonlinear sigma model, which was also studied [72] to investigate the symplectic structure.…”

Section: Introductionmentioning

confidence: 99%