Classical vortex solution of the Abelian Higgs model

Vega, H. J. de; Schaposnik, F

doi:10.1103/physrevd.14.1100

Cited by 297 publications

(305 citation statements)

References 6 publications

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“…[7,11,13,15] and also in a standard textbook of Vilenkin & Shellard [8]. However, we encounter a different value for C 1 : C 1 = 10.58/2π ≃ 10.57/2π ≃ 1.682 ∼ 1.684 which was obtained by Speight [10] about twenty years later than de Vega & Schaposnik [5]. Furthermore, Tong [11] gave the supergravity prediction C 1 = 8 1/4 ≃ 1.68179 .…”

Section: Jhep11(2015)073mentioning

confidence: 88%

“…The constant C 1 has often been calculated in the literature. De Vega & Schaposnik [5] gave a semi-analytical study for axially-symmetric solutions with an arbitrary winding number k ∈ Z >0 , and constructed power-series expansions around a center of a vortex and asymptotic expressions for the opposite side. These two can be determined by only one constant D k+1 k for the power-series expansion and C k (Z k in their notation) for the asymptotic expression.…”

Section: Jhep11(2015)073mentioning

confidence: 99%

“…5 A relation between Dν for ν = k ∈ Z>0 and D k+1 k defined by de Vega & Schaposnik [5] is According to eq. (2.40) R in and D ν /ν turn out to be strictly increasing functions with respect to ν and take values at ν = 0…”

Section: Observable Parametersmentioning

confidence: 99%

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Small winding-number expansion: vortex solutions at critical coupling

Ohashi

2015

J. High Energ. Phys.

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Abstract:We study an axially symmetric solution of a vortex in the Abelian-Higgs model at critical coupling in detail. Here we propose a new idea for a perturbative expansion of a solution, where the winding number of a vortex is naturally extended to be a real number and the solution is expanded with respect to it around its origin. We test this idea on three typical constants contained in the solution and confirm that this expansion works well with the help of the Padé approximation. For instance, we analytically reproduce the value of the scalar charge of the vortex with an error of O(10 −6 ). This expansion is also powerful even for large winding numbers.

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Section: Jhep11(2015)073mentioning

confidence: 88%

Section: Jhep11(2015)073mentioning

confidence: 99%

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Small winding-number expansion: vortex solutions at critical coupling

Ohashi

2015

J. High Energ. Phys.

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“…This is the simplest way we found to make sure that the Abelian Higgs-Galileon system has an energy density bounded from below -other possibility might exist though. Given these preliminary results, it would be interesting to study more in general the stability of our configurations under small fluctuations, and to explore alternative methods to obtain the BPS equations for Galileon vortices, such as methods based on the energy-momentum tensor [35] or on the Lagrangian of the system rather than on the Hamiltonian [36]. We end this section showing that the static configurations discussed in section 3.4 have positive definite energy for the values of β we considered.…”

Section: The Energy Functional For the Galileon Vortexmentioning

confidence: 99%

Galileon Higgs vortices

Chagoya

Tasinato

2016

J. High Energ. Phys.

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Vortex solutions are topologically stable field configurations that can play an important role in condensed matter, field theory, and cosmology. We investigate vortex configuration in a 2+1 dimensional Abelian Higgs theory supplemented by higher order derivative self-interactions, related with Galileons. Our vortex solutions have features that make them qualitatively different from well-known Abrikosov-Nielsen-Olesen configurations, since the derivative interactions turn on gauge invariant field profiles that break axial symmetry. By promoting the system to a 3+1 dimensional string configuration, we study its gravitational backreaction. Our results are all derived within a specific, analytically manageable system, and might offer indications for understanding Galileonic interactions and screening mechanisms around configurations that are not spherically symmetric, but only at most cylindrically symmetric.

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“…In particular, for small ϑ (and consequently γ) the regular commutative Neilsen-Olesen vortex solutions of [3,28] are obtained. In addition, an obvious solution to (3.15) that satisfies the boundary conditions of the semilocal model is Q m ≡ 1.…”

Section: Examplesmentioning

confidence: 99%

Transmogrifying fuzzy vortices

Murugan¹,

Millner²

2004

J. High Energy Phys.

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We show that the construction of vortex solitons of the noncommutative Abelian-Higgs model can be extended to a critically coupled gauged linear sigma model with Fayet-Illiopolous D-terms. Like its commutative counterpart, this fuzzy linear sigma model has a rich spectrum of BPS solutions. We offer an explicit construction of the degree−k static semilocal vortex and study in some detail the infinite coupling limit in which it descends to a degree−k CP N instanton. This relation between the fuzzy vortex and noncommutative lump is used to suggest an interpretation of the noncommutative sigma model soliton as tilted D-strings stretched between an NS5-brane and a stack of D3-branes in type IIB superstring theory.

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Classical vortex solution of the Abelian Higgs model

Cited by 297 publications

References 6 publications

Small winding-number expansion: vortex solutions at critical coupling

Small winding-number expansion: vortex solutions at critical coupling

Galileon Higgs vortices

Transmogrifying fuzzy vortices

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