Classical solutions in the Einstein-Born-Infeld-Abelian-Higgs model

Brihaye, Yves; Mercier, Bertrand

doi:10.1103/physrevd.64.044001

Cited by 7 publications

(13 citation statements)

References 20 publications

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“…5) withγ M cr <γ cr , the value of the magnetic field at the origin tends to infinity. This phenomenon was previously noted for the d = 4, Λ = 0 case in [19]. Thus, Melvin solutions exist only in a small part of the γ-Λ-plane, namely forγ M cr < γ <γ cr .…”

Section: Numerical Solutionssupporting

confidence: 61%

Born–Infeld strings in brane worlds

Brihaye

Hartmann

2004

Nuclear Physics B

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We study Born-Infeld strings in a six dimensional brane world scenario recently suggested by Giovannini, Meyer and Shaposhnikov (GMS). In the limit of the Einstein-Abelian-Higgs model, we classify the solutions found by GMS. Especially, we point out that the warped solutions, which lead to localisation of gravity, are the -by the presence of the cosmological constant -deformed inverted string solutions. Further, we construct the Born-Infeld analogues of the anti-warped solutions and determine the domain of existence of these solutions, while a analytic argument leads us to a "no-go" hypothesis: solutions which localise gravity do not exist in a 6 dimensional EinsteinBorn-Infeld-Abelian-Higgs (EBIAH) brane world scenario. This latter hypothesis is confirmed by our numerical results.

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Section: Numerical Solutionssupporting

confidence: 61%

Born–Infeld strings in brane worlds

Brihaye

Hartmann

2004

Nuclear Physics B

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“…This is better seen in the evolution of the magnetic field, as it is defined as the derivative of the aðrÞ field, which grows without limit as we approach the critical value. This effect seems to be a generic feature of BornInfeld actions for vortexlike solutions, as can be seen, for example, in [44] or [45], and not something artificially introduced by the numerical procedure employed, as the checking with other numerical recipes (e.g. relaxation methods) may show.…”

Section: Numerical Solutionsmentioning

confidence: 90%

Compact vortexlike solutions in a generalized Born-Infeld model

Bazeia¹,

Hora²,

Rubiera-García³

2011

Phys. Rev. D

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We study vortexlike solutions in a generalized Born-Infeld model. The model is driven by two distinct parameters, one which deals with the Born-Infeld term, and the other, which controls the presence of highorder-power term in the covariant derivative of the Higgs field. We numerically solve the equations of motion and depict the main vortex features for several values of the two parameters of the model. The results indicate the presence of compact vortex, when the parameter responsible for the high-order power in the derivative increases to sufficiently large values.

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“…In Refs. [27,28,30] an attempt to construct a non-linear model for (electrically) charged vortices in (2+1) dimensions uses an hybrid approach with a (truncated) Born-Infeld action for the gauge field, a standard linear action for the Higgs field, and a Chern-Simons term ‡:…”

Section: Non-standard Actions For Cosmic Stringsmentioning

confidence: 99%

“…The action we consider is very different from others which have been discussed in the literature, Refs. [27,28,29,30,31,32], and in particular does not lead to pathological configurations. In the limit of small field gradients our DBI strings reduce to Abelian-Higgs strings.…”

Section: Introductionmentioning

confidence: 97%

Dirac Born Infeld (DBI) cosmic strings

Babichev¹,

Brax²,

Caprini³

et al. 2009

J. High Energy Phys.

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Motivated by brane physics, we consider the non-linear Dirac-Born-Infeld (DBI) extension of the Abelian-Higgs model and study the corresponding cosmic string configurations. The model is defined by a potential term, assumed to be of the mexican hat form, and a DBI action for the kinetic terms. We show that it is a continuous deformation of the Abelian-Higgs model, with a single deformation parameter depending on a dimensionless combination of the scalar coupling constant, the vacuum expectation value of the scalar field at infinity, and the brane tension. By means of numerical calculations, we investigate the profiles of the corresponding DBI-cosmic strings and prove that they have a core which is narrower than that of Abelian-Higgs strings. We also show that the corresponding action is smaller than in the standard case suggesting that their formation could be favoured in brane models. Moreover we show that the DBI-cosmic string solutions are non-pathological everywhere in parameter space. Finally, in the limit in which the DBI model reduces to the Bogomolnyi-Prasad-Sommerfield (BPS) Abelian-Higgs model, we find that DBI cosmic strings are no longer BPS: rather they have positive binding energy. We thus argue that, when they meet, two DBI strings will not bind with the corresponding formation of a junction, and hence that a network of DBI strings is likely to behave as a network of standard cosmic strings.

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Classical solutions in the Einstein-Born-Infeld-Abelian-Higgs model

Cited by 7 publications

References 20 publications

Born–Infeld strings in brane worlds

Born–Infeld strings in brane worlds

Compact vortexlike solutions in a generalized Born-Infeld model

Dirac Born Infeld (DBI) cosmic strings

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