<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>P</mml:mi><mml:mi>T</mml:mi></mml:math>-symmetric kinks

Dutra, A. de Souza; Santos, V. G. C. S. dos; Faria, A. C. Amaro de

doi:10.1103/physrevd.75.125001

Cited by 20 publications

(22 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…We mixed and extended the investigations introduced in Refs. [21,22,25] to construct new and stable braneworld scenarios that admit asymmetric thick branes, with the asymmetry controlled by a real parameter. For simplicity, we have considered the case of two scalar fields and illustrated our findings by examining several distinct models.…”

Section: Discussionmentioning

confidence: 99%

“…In this section we combine the approach implemented in [21] and [22] with the method proposed in Ref. [25] to propose and investigate new braneworld models. We then write the superpotential in the form…”

Section: The Proceduresmentioning

confidence: 99%

“…In this sense the aim of this work is to construct new models for asymmetric thick branes using the procedure described in [21] and in [22] in addition to the method developed in Ref. [25], which consists in considering that the effective superpotential is a sum of n decoupled superpotentials, with n accounting for the number of independent scalar fields that appear in the model. In Minkowski spacetime this case represents a trivial situation but nontrivial results arise when we deal with braneworld scenarios, since in curved spacetime there appear another contribution to the scalar potential that couples the scalar fields and introduces extra effects.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

New results on asymmetric thick branes

Bazeia

Ferreira

2019

Annals of Physics

View full text Add to dashboard Cite

This work deals with the presence and stability of thick brane solutions in the warped five dimensional braneworld scenario with a single extra spatial dimension of infinite extent. We combine two distinct procedures that give rise to new possibilities, allowing that we describe models of asymmetric thick branes, with the asymmetry being controlled by a single real parameter. We illustrate the main results with some distinct models, which show that the method works for both standard and generalized models, and the solutions are gravitationally stable against small perturbations of the metric. * Electronic address:

show abstract

Section: Discussionmentioning

confidence: 99%

Section: The Proceduresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

New results on asymmetric thick branes

Bazeia

Ferreira

2019

Annals of Physics

View full text Add to dashboard Cite

show abstract

“…This model uses multi-component real scalar fields and the authors use the first-order framework to obtain the scalar fields solutions. Besides cosmology, the first-order framework with multi-component scalar fields was also used, for instance, in braneworld models [13][14][15][16]. The main goal of this paper is to extend the demonstration found in [9-11] to a system described by multi-component real scalar fields.…”

Section: Introductionmentioning

confidence: 99%

Multi-component scalar fields and the complete factorization of its equations of motion

Granado¹

2019

EPL

View full text Add to dashboard Cite

In the paper D. Bazeia et al., EPL, 119, (2017) 61002, the authors demonstrate the equivalence between the second-order differential equation of motion and a family of first-order differential equations of Bogomolnyi type for the cases of single real and complex scalar field theories with noncanonical dynamics. The goal of this paper is to demonstrate that this equivalence is also valid for a more general classes of real scalar field models. We start the paper by demonstrating the equivalence in a single real scalar model. The first goal is to generalize the equivalence presented in papers by D. Bazeia et al. to a single real scalar field model without a specific form for its Lagrangian. The second goal is to use the setup presented in the first demonstration to show that this equivalence can be achieved also in a real multi-component scalar field model, again, without a specific form for its Lagrangian. The main goal of this paper is to show that this equivalence can be achieved in real scalar field scenarios that can be standard, or non-standard, with single, or multi-component, scalar fields.

show abstract

“…Nevertheless, it is stable and can be associated to a topological charge by using a special definition for the topological current [5]. Over the years, many papers have studied vacuumless topological defects in a diversity of contexts in high energy physics [6][7][8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Vortices in Vacuumless Systems

Marques

2019

Advances in High Energy Physics

View full text Add to dashboard Cite

We investigate the presence of vortex solutions in potentials without vacuum state. The study is conducted considering Maxwell and Chern-Simons dynamics. Also, we use a first order formalism that helps us to find the solutions and their respective electromagnetic fields and energy densities. As a bonus, we get to calculate the energy without knowing the explicit solutions. Even though the solutions present a large "tail" which goes far away from the origin, the magnetic flux remains a well defined topological invariant.

show abstract

PT-symmetric kinks

Abstract: Some kinks for non-Hermitian quantum field theories in 1 1 dimensions are constructed. A class of models where the soliton energies are stable and real are found. Although these kinks are not Hermitian, they are symmetric under PT transformations.

Cited by 20 publications

References 46 publications

New results on asymmetric thick branes

New results on asymmetric thick branes

Multi-component scalar fields and the complete factorization of its equations of motion

Vortices in Vacuumless Systems

Contact Info

Product

Resources

About