Compact solitons in an Abelian-Higgs Chern-Simons model

Santos, Caroline

doi:10.1103/physrevd.82.125009

Cited by 27 publications

(17 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(3.1). So, we consider the BPS equations (4.8) and (4.9) with f (β) 6 given by eq. (4.17), i.e., f (β) 6 = β/(2β − 1) .…”

Section: Jhep12(2016)051mentioning

confidence: 99%

“…So, we consider the BPS equations (4.8) and (4.9) with f (β) 6 given by eq. (4.17), i.e., f (β) 6 = β/(2β − 1) . In order to compute the numerical solutions we choose the upper signs, e = v = κ = 1 and the configurations with winding number n = 1.…”

Section: Jhep12(2016)051mentioning

confidence: 99%

“…These new field theories (called k-generalized models) are characterized by possess nonstandard kinetic terms that could play the role of a symmetry breaking potential [2][3][4][5][6][7][8][9][10][11][12][13][14][15]. The new selfdual k-generalized solutions can exhibit similar behavior as their conventional counterparts however the exotic dynamics can also produce variations on the vortex-core size and on the field amplitudes [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Self-dual configurations in Abelian Higgs models with k-generalized gauge field dynamics

Casana

Cavalcante

Hora

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:We have shown the existence of self-dual solutions in new Maxwell-Higgs scenarios where the gauge field possesses a k-generalized dynamic, i.e., the kinetic term of gauge field is a highly nonlinear function of F µν F µν . We have implemented our proposal by means of a k-generalized model displaying the spontaneous symmetry breaking phenomenon. We implement consistently the Bogomol'nyi-Prasad-Sommerfield formalism providing highly nonlinear self-dual equations whose solutions are electrically neutral possessing total energy proportional to the magnetic flux. Among the infinite set of possible configurations, we have found families of k-generalized models whose self-dual equations have a form mathematically similar to the ones arising in the Maxwell-Higgs or ChernSimons-Higgs models. Furthermore, we have verified that our proposal also supports infinite twinlike models with |φ| 4 -potential or |φ| 6 -potential. With the aim to show explicitly that the BPS equations are able to provide well-behaved configurations, we have considered a test model in order to study axially symmetric vortices. By depending of the self-dual potential, we have shown that the k-generalized model is able to produce solutions that for long distances have a exponential decay (as Abrikosov-Nielsen-Olesen vortices) or have a power-law decay (characterizing delocalized vortices). In all cases, we observe that the generalization modifies the vortex core size, the magnetic field amplitude and the bosonic masses but the total energy remains proportional to the quantized magnetic flux.

show abstract

“…(3.1). So, we consider the BPS equations (4.8) and (4.9) with f (β) 6 given by eq. (4.17), i.e., f (β) 6 = β/(2β − 1) .…”

Section: Jhep12(2016)051mentioning

confidence: 99%

Section: Jhep12(2016)051mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Self-dual configurations in Abelian Higgs models with k-generalized gauge field dynamics

Casana

Cavalcante

Hora

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…It is worth emphasizing the possibility that these theories can arise naturally within the context of string theory. Several studies concerning the topological structure of the -theories have shown that they also engender topological solitons [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]; in general, they can present some new characteristics when compared those of the usual ones [23].…”

Section: Introductionmentioning

confidence: 99%

Self-Dual Effective Compact and True Compacton Configurations in Generalized Abelian Higgs Models

Casana

Lazar

Sourrouille

2018

Advances in High Energy Physics

View full text Add to dashboard Cite

We have studied the existence of self-dual effective compact and true compacton configurations in Abelian Higgs models with generalized dynamics. We have named an effective compact solution the one whose profile behavior is very similar to the one of a compacton structure but still preserves a tail in its asymptotic decay. In particular, we have investigated the electrically neutral configurations of the Maxwell-Higgs and Born-Infeld-Higgs models and the electrically charged ones of the Chern-Simons-Higgs and Maxwell-Chern-Simons-Higgs models. The generalization of the kinetic terms is performed by means of dielectric functions in gauge and Higgs sectors. The implementation of the BPS formalism without the need to use a specific Ansatz has led us to the explicit determination for the dielectric function associated with the Higgs sector to be proportional to | | 2 −2 , > 1. Consequently, the followed procedure allows us to determine explicitly new families of self-dual potential for every model. We have also observed that, for sufficiently large values of , every model supports effective compact vortices. The true compacton solutions arising for = ∞ are analytical. Therefore, these new self-dual structures enhance the space of BPS solutions of the Abelian Higgs models and they probably will imply interesting applications in physics and mathematics.

show abstract

“…For example one can introduce noncanonical kinetic terms [25][26][27][28][29][30][31][32], in order to circumvent the constraints of Derrick's theorem [33] and obtain topological defect solutions (see e.g. [34,35] for a more detailed account on soliton-like solutions in field theory).…”

Section: Introductionmentioning

confidence: 99%

Topological vortices in generalized Born–Infeld–Higgs electrodynamics

et al. 2015

View full text Add to dashboard Cite

A consistent BPS formalism to study the existence of topological axially symmetric vortices in generalized versions of the Born-Infeld-Higgs electrodynamics is implemented. Such a generalization modifies the field dynamics via the introduction of three nonnegative functions depending only in the Higgs field, namely, G(|φ|), w(|φ|), and V (|φ|). A set of first-order differential equations is attained when these functions satisfy a constraint related to the Ampère law. Such a constraint allows one to minimize the system's energy in such way that it becomes proportional to the magnetic flux. Our results provides an enhancement of the role of topological vortex solutions in Born-Infeld-Higgs electrodynamics. Finally, we analyze a set of models entailing the recovery of a generalized version of Maxwell-Higgs electrodynamics in a certain limit of the theory.

show abstract

Compact solitons in an Abelian-Higgs Chern-Simons model

Cited by 27 publications

References 43 publications

Self-dual configurations in Abelian Higgs models with k-generalized gauge field dynamics

Self-dual configurations in Abelian Higgs models with k-generalized gauge field dynamics

Self-Dual Effective Compact and True Compacton Configurations in Generalized Abelian Higgs Models

Topological vortices in generalized Born–Infeld–Higgs electrodynamics

Contact Info

Product

Resources

About