Self-dual Maxwell-Chern-Simons solitons in a parity-invariant scenario

Lima, W.B. De; Fabritiis, P. De

doi:10.1016/j.physletb.2022.137326

Cited by 4 publications

(1 citation statement)

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“…It may be appropriate at this point to mention that in Condensed Matter Physics, the application of two distinct SO(2) × SO(2) Abelian gauge fields in 2 + 1 dimensional Chern-Simons theories is ubiquitous, both in gauged complex scalar (Higgs) and O(3) scalar (Skyrme) models. See e.g., [16] for Higgs and [17] for Skyrme. While there may be a superficial resemblance between these models [17], the SCS density employed here is quite distinct from these.…”

Section: Discussionmentioning

confidence: 99%

On the effects of the Chern-Simons term in an Abelian gauged Skyrme model in d = 4 + 1 dimensions

2021

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Section: Discussionmentioning

confidence: 99%

On the effects of the Chern-Simons term in an Abelian gauged Skyrme model in d = 4 + 1 dimensions

2021

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de Broglie–Bohm analysis of a nonlinear membrane: From quantum to classical chaos

Santos Lima,

Paixão,

Tsallis

2024

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Within the de Broglie–Bohm theory, we numerically study a generic two-dimensional anharmonic oscillator including cubic and quartic interactions in addition to a bilinear coupling term. Our analysis of the quantum velocity fields and trajectories reveals the emergence of dynamical vortices. In their vicinity, fingerprints of chaotic behavior such as unpredictability and sensitivity to initial conditions are detected. The simultaneous presence of the off-diagonal −kxy and nonlinear terms leads to robust quantum chaos very analogous to its classical version.

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The effect of Skyrme–Chern–Simons dynamics on gauged Skyrmions in 2 + 1 dimensions

Navarro-Lérida,

Radu,

Tchrakian

2024

J. Phys. A: Math. Theor.

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We study the Skyrmion of the $SO(2)$ gauged $O(3)$ sigma model in $2+1$ dimensions in the presence of a Skyrme--Chern-Simons (SCS) term, and compare its properties with the corresponding properties of the Skyrmion in the presence of the usual Chern-Simons (CS) term. We find that these properties are qualitatively largely similar in both cases, meaning that the SCS density can be employed as an alternative to the CS term also in higher dimensions, most importantly in even dimensions where no CS term is defined, $e.g.,$ in $3+1$ dimensions. The SCS density employed here is defined in terms of the pair of $SO(2)\times SO(2)$ gauge fields and an auxiliary $O(5)$ Skyrme scalar, which is contracted to an effective $O(3)$ Skyrme scalar. Technically, this study maps the methods to be applied in higher dimensional examples.

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Self-dual Maxwell-Chern-Simons solitons in a parity-invariant scenario

Cited by 4 publications

References 58 publications

On the effects of the Chern-Simons term in an Abelian gauged Skyrme model in d = 4 + 1 dimensions

On the effects of the Chern-Simons term in an Abelian gauged Skyrme model in d = 4 + 1 dimensions

de Broglie–Bohm analysis of a nonlinear membrane: From quantum to classical chaos

The effect of Skyrme–Chern–Simons dynamics on gauged Skyrmions in 2 + 1 dimensions

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Self-dual Maxwell-Chern-Simons solitons in a parity-invariant scenario

Cited by 4 publications

References 58 publications

On the effects of the Chern-Simons term in an Abelian gauged Skyrme model in d = 4 + 1 dimensions

On the effects of the Chern-Simons term in an Abelian gauged Skyrme model in d = 4 + 1 dimensions

de Broglie–Bohm analysis of a nonlinear membrane: From quantum to classical chaos

The effect of Skyrme–Chern–Simons dynamics on gauged Skyrmions in 2 + 1 dimensions

Contact Info

Product

Resources

About

On the effects of the Chern-Simons term in an Abelian gauged Skyrme model in d = 4 + 1 dimensions

On the effects of the Chern-Simons term in an Abelian gauged Skyrme model in d = 4 + 1 dimensions