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

Abstract 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 to...

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Autores principales:	F. C. E. Lima, C. A. S. Almeida
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/e68e27ea3f46427897de3c2be9d1b862
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spelling	oai:doaj.org-article:e68e27ea3f46427897de3c2be9d1b8622021-12-05T12:09:00ZPhase transitions in the logarithmic Maxwell O(3)-sigma model10.1140/epjc/s10052-021-09826-x1434-60441434-6052https://doaj.org/article/e68e27ea3f46427897de3c2be9d1b8622021-11-01T00:00:00Zhttps://doi.org/10.1140/epjc/s10052-021-09826-xhttps://doaj.org/toc/1434-6044https://doaj.org/toc/1434-6052Abstract 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.F. C. E. LimaC. A. S. AlmeidaSpringerOpenarticleAstrophysicsQB460-466Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENEuropean Physical Journal C: Particles and Fields, Vol 81, Iss 11, Pp 1-8 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 F. C. E. Lima C. A. S. Almeida Phase transitions in the logarithmic Maxwell O(3)-sigma model
description	Abstract 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.
format	article
author	F. C. E. Lima C. A. S. Almeida
author_facet	F. C. E. Lima C. A. S. Almeida
author_sort	F. C. E. Lima
title	Phase transitions in the logarithmic Maxwell O(3)-sigma model
title_short	Phase transitions in the logarithmic Maxwell O(3)-sigma model
title_full	Phase transitions in the logarithmic Maxwell O(3)-sigma model
title_fullStr	Phase transitions in the logarithmic Maxwell O(3)-sigma model
title_full_unstemmed	Phase transitions in the logarithmic Maxwell O(3)-sigma model
title_sort	phase transitions in the logarithmic maxwell o(3)-sigma model
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/e68e27ea3f46427897de3c2be9d1b862
work_keys_str_mv	AT fcelima phasetransitionsinthelogarithmicmaxwello3sigmamodel AT casalmeida phasetransitionsinthelogarithmicmaxwello3sigmamodel
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Phase transitions in the logarithmic Maxwell O(3)-sigma model

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