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Related papers: Quantization of Chern-Simons Coefficient

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We study the global structure of dyonic fields on a Taub-Bolt background, and compare our results with similar fields over Taub-NUT and Schwarzschild spaces. It is shown that the electric and magnetic charges are quantized and lead to a…

General Relativity and Quantum Cosmology · Physics 2017-10-20 Daniel Flores-Alfonso , Hernando Quevedo

The electric charge of the quantization condition of Dirac's monopole may have any value, we are not obliged to identify it with the electron charge. Consequently the magnetic charge of the monopole is quite arbitrary: Dirac's monopole is a…

General Physics · Physics 2007-05-23 A. Loinger

We study a non-Abelian Chern-Simons gauge theory in $ 2+ 1$ dimensions with the inclusion of an anomalous magnetic interaction. For a particular relation between the Chern-Simons (CS) mass and the anomalous magnetic coupling the equations…

High Energy Physics - Theory · Physics 2009-10-28 Armando Antillón , Joaquín Escalona , Gabriel Germán , Manuel Torres

We investigate U(N) Chern-Simons theories on noncommutative plane. We show that for the theories to be consistent quantum mechanically, the coefficient of the Chern-Simons term should be quantized $\kappa = n/2\pi$ with an integer $n$. This…

High Energy Physics - Theory · Physics 2009-11-07 Dongsu Bak , Kimyeong Lee , Jeong-Hyuck Park

In J.D. Jackson's Classical Electrodynamics textbook, the analysis of Dirac's charge quantization condition in the presence of a magnetic monopole has a mathematical omission and an all too brief physical argument that might mislead some…

Classical Physics · Physics 2017-01-04 Masud Mansuripur

We derive the effective field theory from the microscopic Hamiltonian of interacting two-dimensional (pseudo) Dirac electrons by performing a statistic gauge transformation. The quantized Hall conductance are expected to be…

Mesoscale and Nanoscale Physics · Physics 2011-09-02 Huabi Zeng

The topological nature of Chern-Simons term describing the interaction of a charge with magnetic monopole is manifested in two ways: it changes the plane dynamical geometry of a free particle for the cone dynamical geometry without…

High Energy Physics - Theory · Physics 2009-10-31 Mikhail S. Plyushchay

The role of Chern-Simons (CS) actions is reviewed, starting from the observation that all classical actions in Hamiltonian form can be viewed as 0+1 CS systems, in the same class with the coupling between the electromagnetic field and a…

High Energy Physics - Theory · Physics 2009-12-04 Jorge Zanelli

We show that the functional bosonization procedure can be generalized in such a way that, to any field theory with a conserved Abelian charge in (2+1) dimensions, there corresponds a dual Abelian gauge field theory. The properties of this…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , V. E. R. Lemes , L. E. Oxman , S. P. Sorella , O. S. Ventura

Chern-Simons electrodynamics in 2+1-spacetimes with torsion is investigated. We start from the usual Chern-Simons (CS) electrodynamics Lagrangian and Cartan torsion is introduced in the covariant derivative and by a direct coupling of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

We study the effect of a Chern-Simons term on the electrically charged and spinning solitons of several $U(1)$ gauged models in $2+1$ dimensions. These are vortices of complex scalar field theories, both with and without symmetry breaking…

High Energy Physics - Theory · Physics 2017-04-26 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

In most introductory courses on electrodynamics, one is taught the electric charge is quantised but no theoretical explanation related to this law of nature is offered. Such an explanation is postponed to graduate courses on…

History and Philosophy of Physics · Physics 2019-04-09 Ricardo Heras

Chern-Simons theory coupled to complex scalars is quantized on the light- front in the local light-cone gauge by constructing the self-consistent hamiltonian theory. It is shown that no inconsistency arises on using two local gauge-fixing…

High Energy Physics - Theory · Physics 2007-05-23 Prem P. Srivastava

We comment on the calculation of the Chern-Simons coefficient in (2+1)-dimensional gauge theories at finite chemical potential made by A.N.Sissakian, O.Yu.Shevchenko and S.B.Solganik (hep-th/9608159 and hep-th/9612140).

High Energy Physics - Theory · Physics 2007-05-23 Vadim Zeitlin

By taking into account the effect of the would be Chern-Simons term, we calculate the quantum correction to the Chern-Simons coefficient in supersymmetric Chern-Simons Higgs theories with matter fields in the fundamental representation of…

High Energy Physics - Theory · Physics 2009-10-31 Hsien-chung Kao

We investigate a sequence of quadratic topological terms of the Chern-Simons type in different spacetime dimensions, related by dimensional compactification and sharing the properties of topological mass generation and statistical…

High Energy Physics - Theory · Physics 2009-11-07 J. Barcelos-Neto , E. C. Marino

For (2+1)-dimensional spacetimes with the spatial topology of a torus, the transformation between the Chern-Simons and ADM versions of quantum gravity is constructed explicitly, and the wave functions are compared. It is shown that…

High Energy Physics - Theory · Physics 2014-11-18 Steven Carlip

It is shown, by a semi-classical argument, that the Dirac charge quantization is still valid in the (classical) Born-Infeld electromagnetic theory. Then it is possible to calculate Dirac's monopole mass in the framework of this theory,…

General Physics · Physics 2021-10-19 Francisco Caruso

Reducing a 3-dimensional Chern-Simons term by a symmetry yields other topologically interesting structures. Specifically, reducing by radial symmetry results in a 1-dimensional quantum mechanical model, which has recently been used in an…

High Energy Physics - Theory · Physics 2014-11-18 R. Jackiw , S. -Y. Pi

The quantization of the gravitational Chern-Simons coefficient is investigated in the framework of $ISO(2,1)$ gauge gravity. Some paradoxes involved are cured. The resolution is largely based on the inequivalence of $ISO(2,1)$ gauge gravity…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jin-Ho Cho , Hyuk-jae Lee