Transforming kinks into compactons in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e344" altimg="si4.svg"><mml:mrow><mml:mi>O</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>-sigma model

We investigate the presence of topological structures and multiple phase transitions in the O(3)-sigma model with the gauge field governed by Maxwell’s term and subject to a so-called Gausson’s self-dual potential. To carry out this study, it is numerically shown that this model supports topological solutions in 3-dimensional spacetime. In fact, to obtain the topological solutions, we assume a spherically symmetrical ansatz to find the solutions, as well as some physical behaviors of the vortex, as energy and magnetic field. It is presented a planar view of the magnetic field as an interesting configuration of a ring-like profile. To calculate the differential configurational complexity (DCC) of structures, the spatial energy density of the vortex is used. In fact, the DCC is important because it provides us with information about the possible phase transitions associated with the structures located in the Maxwell–Gausson model in 3D. Finally, we note from the DCC profile an infinite set of kink-like solutions associated with the parameter that controls the vacuum expectation value.

show abstract

“…Motivated by the models presented in Refs. [11,18,21], we consider the Lagrangian of the Maxwell-Gausson O(3)sigma model in (2 + 1)D spacetime as…”

Section: The Maxwell-gausson O(3)-sigma Modelmentioning

confidence: 99%

“…Topological solutions of the gauged O(3)-sigma model have been extensively studied [11,[17][18][19][20][21][22]. In the Skyrme model [23,24], a gauge symmetry is required for the scale invariance of a O(3)-sigma model with the dynamics of the gauge field governed by Maxwell term [20,25].…”

Section: Introductionmentioning

confidence: 99%

Phase transitions in the logarithmic Maxwell O(3)-sigma model

Lima

Almeida

2021

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…In the context of BPS solutions, several works assume the dynamics of the gauge field governed by a Chern-Simons term [7,[20][21][22][23][24]. These systems become self-dual for a suitable choice of potential [25,26], so their topological solutions [27], as well as, non-topological solutions [28] will be present in the model.…”

Section: Introductionmentioning

confidence: 99%

Differential configurational complexity and phase transitions of the BPS solutions in the O(3)-sigma model

Lima,

Almeida

2022

Preprint

View full text Add to dashboard Cite

Using a spherically symmetric ansatz, we show that the Chern-Simons O(3) -sigma model with a logarithmic potential admits topological solutions. This result is quite interesting since the Gausson-type logarithmic potential only predicted topological solutions in (1 + 1)D models. To accomplish our goal, the Bogomol'nyi-Prasad-Sommerfield (BPS) method is used, to saturate the energy and obtain the BPS equations. Next, we show by numerical method the graphical results of the topological fields, as well as, the magnetic field behavior that generates a flux given by Φ f lux = −Q/κ and the energy density of the structures of vortices. On the other hand, we evaluate the measure of the differential configurational complexity (DCC) of the topological structures, by considering the energy density of the vortex. This analysis is important because it will provide us with information about the possible phase transitions associated with the localized structures and it shows that our model only supports one phase transition.

show abstract

Section: Introductionmentioning

confidence: 99%

Phase transitions in the logarithmic Maxwell O(3)-sigma model

Lima,

Almeida

2021

Preprint

View full text Add to dashboard Cite

We investigate the presence of topological structures and multiple phase transitions in the O(3)-sigma model with the gauge field governed by Maxwell's term and subject to a so-called Gausson's self-dual potential. To carry out this study, it is numerically shown that this model supports topological solutions in 3-dimensional spacetime. In fact, to obtain the topological solutions, we assume a spherically symmetrical ansatz to find the solutions, as well as some physical behaviors of the vortex, as energy and magnetic field. It is presented a planar view of the magnetic field as an interesting configuration of a ring-like profile. To calculate the differential configurational complexity (DCC) of structures, the spatial energy density of the vortex is used. In fact, the DCC is important because it provides us with information about the possible phase transitions associated with the structures located in the Maxwell-Gausson model in 3D. Finally, we note from the DCC profile an infinite set of kink-like solutions associated with the parameter that controls the vacuum expectation value.

show abstract

Transforming kinks into compactons in the O(3)-sigma model

Cited by 17 publications

References 31 publications

Phase transitions in the logarithmic Maxwell O(3)-sigma model

Phase transitions in the logarithmic Maxwell O(3)-sigma model

Differential configurational complexity and phase transitions of the BPS solutions in the O(3)-sigma model

Phase transitions in the logarithmic Maxwell O(3)-sigma model

Contact Info

Product

Resources

About