Kink solutions in generalized 2D dilaton gravity

Zhong, Yuan; Guo, Heng; Liu, Yu-Xiao

doi:10.1016/j.physletb.2024.138471

Cited by 4 publications

(1 citation statement)

References 55 publications

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“…Besides allowing for more dimensions and richer field content, once we are able to tame ultraviolet divergences in the soliton sector, we may also approach models with nontrivial kinetic terms, such as the modified dilaton, allowing an application to the kinks in refs. [34][35][36].…”

Section: Jhep05(2024)098mentioning

confidence: 99%

A (2+1)-dimensional domain wall at one-loop

Ogundipe,

Evslin,

Zhang

et al. 2024

J. High Energ. Phys.

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We consider the domain wall in the (2+1)-dimensional ϕ4 double well model, created by extending the ϕ4 kink in an additional infinite direction. Classically, the tension is m3/3λ where λ is the coupling and m is the meson mass. At order O(λ0) all ultraviolet divergences can be removed by normal ordering, less trivial divergences arrive only at the next order. This allows us to easily quantize the domain wall, working at order O(λ0). We calculate the leading quantum correction to its tension as a two-dimensional integral over a function which is determined analytically. This integral is performed numerically, resulting in −0.0866m2. This correction has previously been computed twice in the literature, and the results of these two computations disagreed. Our result agrees with and so confirms that of Jaimunga, Semenoff and Zarembo. We also find, at this order, the excitation spectrum and a general expression for the one-loop tensions of domain walls in other scalar models.

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Section: Jhep05(2024)098mentioning

confidence: 99%

A (2+1)-dimensional domain wall at one-loop

Ogundipe,

Evslin,

Zhang

et al. 2024

J. High Energ. Phys.

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Kinks and double-kinks in generalized $$\phi ^{4}$$- and $$\phi ^{8}$$-models

Lima,

Casana,

Almeida

2024

Eur. Phys. J. C

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Examining the $$\phi ^{4}$$ ϕ 4 and $$\phi ^{8}$$ ϕ 8 models within a two-dimensional framework in the flat spacetime and embracing a theory with unconventional kinetic terms, one investigates the emergence of kinks/antikinks and double-kinks/antikinks. We devote our study to obtaining the field configurations with minimal energy, i.e., solutions possessing a Bogomol’nyi–Prasad–Sommerfield’s bound. Next, to accomplish our goal, we adopt non-polynomial generalizing functions, namely, hyperbolic sine and cosine functions: the first produce BPS potentials exhibiting a minimum at $$\phi =0$$ ϕ = 0 , facilitating the emergence of genuine double-kink-type configurations. Conversely, the second promotes the rise of kink-type solutions.

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Gravitating kinks with asymptotically flat metrics

Wang,

Zhong,

Wang

2024

EPL

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In this work, we consider a two-dimensional (2D) dilaton gravity model where the dilaton kinetic term $\mathcal{X}$ is modified by an additional derivative coupling term $\alpha\mathcal{X}^2$. In the case with a canonical scalar matter field, the field equations of this model have a simple first-order formalism, from which exact static kink solutions can be constructed. The novelty of these solutions is that the corresponding metric can be asymptotically flat rather than asymptotically anti de Sitter. The linear stability and the localization of scalar matter fields are also studied. It was found that the solutions are stable against small linear perturbations, and the localization of scalar matter fields can be realized by introducing scalar-kink interactions.

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Kink solutions in generalized 2D dilaton gravity

Cited by 4 publications

References 55 publications

A (2+1)-dimensional domain wall at one-loop

A (2+1)-dimensional domain wall at one-loop

Kinks and double-kinks in generalized $$\phi ^{4}$$- and $$\phi ^{8}$$-models

Gravitating kinks with asymptotically flat metrics

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