Bogomol'nyi equations of Chern-Simons Higgs theory from a generalized abelian Higgs model

Lee, Joohan; Nam, Soonkeon

doi:10.1016/0370-2693(91)90453-w

Cited by 67 publications

(89 citation statements)

References 24 publications

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“…This modification can be seen to describe the presence of a generalized magnetic permeability. It appeared before in [5,6] in the context of vortex solutions, and here we use it again, motivated to describe new models and solutions, with focus on the presence of compact vortex. This model was also considered in [21] in the study of the gauge embedding procedure that produces the dual mapping of the self-dual vector field theory into a Maxwell-Chern-Simons system.…”

Section: The Modelmentioning

confidence: 99%

“…The generalized Maxwell-Higgs model in which we are interested appeared in the beginning of the 1990s, with focus on the presence of vortex solutions [5,6]. The model includes a e-mail: bazeia@fisica.ufpb.br b e-mail: losano@fisica.ufpb.br c e-mail: mam.matheus@gmail.com d e-mail: rmenezes@dce.ufpb.br e e-mail: ivzafalan@gmail.com a function G(|φ|) of the Higgs field multiplying the Maxwell term, and for a very specific choice of this function, the generalized system supports solutions that map the vortices of the Chern-Simons-Higgs system [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

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Compact vortices

et al. 2017

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We study a family of Maxwell-Higgs models, described by the inclusion of a function of the scalar field that represent generalized magnetic permeability. We search for vortex configurations which obey first-order differential equations that solve the equations of motion. We first deal with the asymptotic behavior of the field configurations, and then implement a numerical study of the solutions, the energy density and the magnetic field. We work with the generalized permeability having distinct profiles, giving rise to new models, and we investigate how the vortices behave, compared with the solutions of the corresponding standard models. In particular, we show how to build compact vortices, that is, vortex solutions with the energy density and magnetic field vanishing outside a compact region of the plane.

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Section: The Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Compact vortices

et al. 2017

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“…The important difference is that now the coefficient of the Maxwell term is field dependent. This structure is known to appear in the abelian Higgs model with an anomalous magnetic interaction leading to an effective model with field dependent permeability [11]. This comes around if we use a generalized covariant derivative given as,…”

Section: B the Bosonic Casementioning

confidence: 99%

Dual equivalence between self-dual and Maxwell–Chern–Simons models coupled to dynamical U(1) charged matter

et al. 2001

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We study the equivalence between the self-dual and the Maxwell-Chern-Simons (MCS) models coupled to dynamical, U(1) charged matter, both fermionic and bosonic. This is done through an iterative procedure of gauge embedding that produces the dual mapping of the self-dual vector field theory into a Maxwell-Chern-Simons version. In both cases, to establish this equivalence a current-current interaction term is needed to render the matter sector unchanged. Moreover, the minimal coupling of the original self-dual model is replaced by a non-minimal magnetic like coupling in the MCS side. Unlike the fermionic instance however, in the bosonic example the dual mapping proposed here leads to a Maxwell-Chern-Simons theory immersed in a field dependent medium.

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“…with r and ϕ the standard polar coordinates, the self-duality equations of the commutative model are [6][7][8] 1 r…”

Section: Comparison With the Commutative Vorticesmentioning

confidence: 99%

“…This dielectric contribution to the action, which spoils renormalizability, is however, a common occurrence in the effective truncation to low energy of supersymmetric theories. In the commutative case, self-dual vortices in Abelian models with dielectric function have been studied in [6][7][8] or [9], and other related Higgs models which arise from effective supersymmetric theories are dealt with in [10,11] and [12]. Here, moving to the noncommutative plane, we will consider two variants among this kind of Abelian systems.…”

Section: Introductionmentioning

confidence: 99%

Self-dual vortices in Abelian Higgs models with dielectric function on the noncommutative plane

Fuertes

Guilarte

2014

Eur. Phys. J. C

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We show that Abelian Higgs Models with a dielectric function defined on the noncommutative plane enjoy self-dual vorticial solutions. By choosing a particular form of the dielectric function, we provide a family of solutions whose Higgs and magnetic fields interpolate between the profiles of the noncommutative Nielsen-Olesen and Chern-Simons vortices. This is done both for the usual U (1) model and for the SU (2) × U (1) semilocal model with a doublet of complex scalar fields. The variety of known noncommutative self-dual vortices which display a regular behavior when the noncommutativity parameter tends to zero results in this way considerably enlarged.

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Bogomol'nyi equations of Chern-Simons Higgs theory from a generalized abelian Higgs model

Cited by 67 publications

References 24 publications

Compact vortices

Compact vortices

Dual equivalence between self-dual and Maxwell–Chern–Simons models coupled to dynamical U(1) charged matter

Self-dual vortices in Abelian Higgs models with dielectric function on the noncommutative plane

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