Vortex scattering in the Abelian Higgs model

Rebbi, C.; Strilka, Richard; Myers, Eric

doi:10.1016/0920-5632(92)90243-l

Cited by 2 publications

(5 citation statements)

References 13 publications

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“…Hence, we can see that the zero mode bosonic fluctuations can sufficiently describe the dynamics of the vortices and also provide a consistent quantum mechanical description of the slowly moving vortices [2,[34][35][36]. If the motion is not slow, then these fluctuations would produce massive bosonic excitations on the 2n moduli space manifold of the Higgs solutions [34], but for sufficiently slow motion, these can be disregarded.…”

Section: So(2) Quantum States Symmetry and The Metric Of Vorticesmentioning

confidence: 99%

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Supersymmetric Chern–Simons vortex systems and extended supersymmetric quantum mechanics algebras

Oikonomou

2013

Nuclear Physics B

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We study N = 2 supersymmetric Chern-Simons Higgs models in (2+1)-dimensions and the existence of extended underlying supersymmetric quantum mechanics algebras. Our findings indicate that the fermionic zero modes quantum system in conjunction with the system of zero modes corresponding to bosonic fluctuations, are related to an N = 4 extended 1-dimensional supersymmetric algebra with central charge, a result closely connected to the N = 2 spacetime supersymmetry of the total system. We also add soft supersymmetric terms to the fermionic sector in order to examine how this affects the index of the corresponding Dirac operator, with the latter characterizing the degeneracy of the solitonic solutions. In addition, we analyze the impact of the underlying supersymmetric quantum algebras to the zero mode bosonic fluctuations. This is relevant to the quantum theory of self-dual vortices and particularly for the symmetries of the metric of the space of vortices solutions and also for the non-zero mode states of bosonic fluctuations.

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Section: So(2) Quantum States Symmetry and The Metric Of Vorticesmentioning

confidence: 99%

“…The dynamics of slowly moving vortices may be described by geodesic motion on the manifold of static bosonic soliton solutions, where the metric on the manifold is described by the kinetic energy of the fields. The metric looks like [34,35]:…”

Section: So(2) Quantum States Symmetry and The Metric Of Vorticesmentioning

confidence: 99%

Supersymmetric Chern–Simons vortex systems and extended supersymmetric quantum mechanics algebras

Oikonomou

2013

Nuclear Physics B

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“…The final section was concerned with the scattering of vortices with magnetic impurities at critical coupling. Our aim was to provide a numerical study of the scattering processes, similar to those already conducted for vortices in the absence of impurities [20][21][22][23]. We first considered the scattering of a single vortex with an impurity for different impact parameters.…”

Section: Discussionmentioning

confidence: 99%

“…In a head-on collision, we found that the vortices pass through the impurity and scatter at right angles, as they would in the absence of an impurity, see for example Refs. [20,21]. The details of the scattering process are slightly different depending on the sign of c. As the impact parameter increases, the scattering angle decreases.…”

Section: Discussionmentioning

confidence: 99%

“…Previous numerical investigations into the scattering of two vortices in the Ginzburg-Landau model in Refs. [20][21][22][23] have explored the relationship between the scattering angle and impact parameter and any dependence of the scattering behaviour on the initial velocity given to the vortices. We carry out similar calculations for vortices scattering with magnetic impurities.…”

Section: Introductionmentioning

confidence: 99%

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Vortices and magnetic impurities

Ashcroft

Krusch

2020

Phys. Rev. D

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Ginzburg-Landau vortices in superconductors attract or repel depending on whether the value of the coupling constant λ is less than 1 or larger than 1. At critical coupling λ = 1, it was previously observed that a strongly localised magnetic impurity behaves very similarly to a vortex. This remains true for axially symmetric configurations away from critical coupling. In particular, a delta function impurity of a suitable strength is related to a vortex configuration without impurity by singular gauge transformation. However, the interaction of vortices and impurities is more subtle and depends not only on the coupling constant λ and the impurity strength, but also on how broad the impurity is. Furthermore, the interaction typically depends on the distance and may be attractive at short distances and repulsive at long distances. Numerical simulations confirm moduli space approximation results for the scattering of one and two vortices with an impurity. However, a double vortex will split up when scattering with an impurity, and the direction of the split depends on the sign of the impurity. * jea29@kentforlife.net † S.Krusch@kent.ac.uk arXiv:1808.07441v1 [hep-th]

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Vortex scattering in the Abelian Higgs model

Cited by 2 publications

References 13 publications

Supersymmetric Chern–Simons vortex systems and extended supersymmetric quantum mechanics algebras

Supersymmetric Chern–Simons vortex systems and extended supersymmetric quantum mechanics algebras

Vortices and magnetic impurities

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