K-field kinks in two-dimensional dilaton gravity

Zhong, Yuan; Li, Fei-Yu; Li, Xudong

doi:10.1016/j.physletb.2021.136716

Cited by 19 publications

(46 citation statements)

References 64 publications

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“…In particular, the Hamiltonian operator of the Schrödinger-like equation can be factorized as the form Ĥ = Â Â † , which indicates that the eigenvalues are positive-semidefinite, and therefore, the solutions are stable. Similar results were also obtained for the case with noncanonical scalar field [47]. Remarkablly, the perturbation equations derived in Refs.…”

Section: Introductionsupporting

confidence: 84%

“…Remarkablly, the perturbation equations derived in Refs. [40,47] take similar form as the scalar perturbation equations of some 5D thick brane model with Einstein gravity [48,49,50]. This verified the conjecture that the MMSS model may be the closest thing there is to general relativity in two dimensions [51].…”

Section: Introductionsupporting

confidence: 66%

“…This observation makes it an easy task to construct analytical solutions of 2D gravitating kink, some examples can be found in Ref. [40] for the case with canonical scalar field, and [47] for the case with noncanonical scalar field. All these solutions are regular, and can be regarded as 2D thick branes.…”

Section: Introductionmentioning

confidence: 99%

“…In the first approach, one directly linearizes the field equations, as has been done in Refs. [40,47]. In the other, one first expands the action around a background solution, and keep only the quadratic terms of the perturbations.…”

Section: Introductionmentioning

confidence: 99%

“…Unfortunately, for 2D gravitating kink solutions considered in Refs. [40,47], singular potentials in the Schrödinger-like equation seems unavoidable within some parameter ranges. For this reason, it is necessary to conduct an independent derivation of the linear perturbation equations from the quadratic action approach, and see if they are equivalent with those obtained in Refs.…”

Section: Introductionmentioning

confidence: 99%

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Normal modes for two-dimensional gravitating kinks

Zhong

2021

Preprint

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We study small perturbations around an arbitrary static kink solution of a two-dimensional (2D) gravity-scalar system, where the gravity part is described by a subclass of 2D dilaton gravity theory, and the scalar matter field has generalized dynamics. We expand the action around an arbitrary static solution and keep terms up to the second order of the perturbations. After variation the linear-order action leads to background field equations, as expected. The quadratic action of the normal modes are obtained after fixing the gauge and using the constraint equation. The linear perturbation equations obtained from the quadratic action are consistent with those obtained by linearizing the field equations under the dilaton gauge. All the calculations are assisted by a Mathematica code, which is also provided as a supplementary material.

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Section: Introductionsupporting

confidence: 84%

Section: Introductionsupporting

confidence: 66%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Normal modes for two-dimensional gravitating kinks

Zhong

2021

Preprint

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Aspects of Kink‐Like Structures in 2D Dilaton Gravity

Lima,

Almeida

2023

Fortschritte der Physik

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The topological structures that arise from two‐dimensional (2D) models are relevant physically and the first step toward understanding more complex systems. In this work, one studies the kink‐like solutions of the matter field that emerge in a 2D dilaton gravity scenario. Considering this scenario, the linear stability of the matter field and the translational mode is examined. Due to the specific profile of the solutions found, a differential configurational complexity (DCC) analysis of the system is necessary to confirm the nature of the structures. Furthermore, the interforce and scattering process is studied, considering a pair of kink‐antikink‐like solutions in a fixed time ().

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Singular Pöschl-Teller II potentials and gravitating kinks

Zhong

2022

J. High Energ. Phys.

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We report a two-dimensional (2D) gravitating kink model, for which both the background field equations and the linear perturbation equation are exactly solvable. The background solution describes a sine-Gordon kink that interpolating between two asymptotic AdS2 spaces, and can be regarded as a 2D thick brane world solution. The linear perturbation equation can be recasted into a Schrödinger-like equation with singular Pöschl-Teller II potentials. There is no tachyonic state in the spectrum, so the solution is stable against the linear perturbations. Besides, there can be n = 0, 1, 2,⋯ bounded vibrational modes around the kink. The number of these vibrational modes varies with model parameters.

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K-field kinks in two-dimensional dilaton gravity

Cited by 19 publications

References 64 publications

Normal modes for two-dimensional gravitating kinks

Normal modes for two-dimensional gravitating kinks

Aspects of Kink‐Like Structures in 2D Dilaton Gravity

Singular Pöschl-Teller II potentials and gravitating kinks

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