Kink solutions in logarithmic scalar field theory: Excitation spectra, scattering, and decay of bions

We consider the (1+1)-dimensional Lorentz-symmetric field-theoretic model with logarithmic potential having a Mexican-hat form with two local minima similar to that of the quartic Higgs potential in conventional electroweak theory with spontaneous symmetry breaking and mass generation. We demonstrat...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Ekaterina Belendryasova, Vakhid A. Gani, Konstantin G. Zloshchastiev
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/23aadbd080de45b0b6f3286c4699fd49
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:23aadbd080de45b0b6f3286c4699fd49
record_format	dspace
spelling	oai:doaj.org-article:23aadbd080de45b0b6f3286c4699fd492021-12-04T04:32:43ZKink solutions in logarithmic scalar field theory: Excitation spectra, scattering, and decay of bions0370-269310.1016/j.physletb.2021.136776https://doaj.org/article/23aadbd080de45b0b6f3286c4699fd492021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0370269321007164https://doaj.org/toc/0370-2693We consider the (1+1)-dimensional Lorentz-symmetric field-theoretic model with logarithmic potential having a Mexican-hat form with two local minima similar to that of the quartic Higgs potential in conventional electroweak theory with spontaneous symmetry breaking and mass generation. We demonstrate that this model allows topological solutions — kinks. We analyze the kink excitation spectrum, and show that it does not contain any vibrational modes. We also study the scattering dynamics of kinks for a wide range of initial velocities. The critical value of the initial velocity occurs in kink-antikink collisions, which thus differentiates two regimes. Below this value, we observe the capture of kinks and their fast annihilation; while above this value, the kinks bounce off and escape to spatial infinities. Numerical studies show no resonance phenomena in the kink-antikink scattering.Ekaterina BelendryasovaVakhid A. GaniKonstantin G. ZloshchastievElsevierarticlePhysicsQC1-999ENPhysics Letters B, Vol 823, Iss , Pp 136776- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Ekaterina Belendryasova Vakhid A. Gani Konstantin G. Zloshchastiev Kink solutions in logarithmic scalar field theory: Excitation spectra, scattering, and decay of bions
description	We consider the (1+1)-dimensional Lorentz-symmetric field-theoretic model with logarithmic potential having a Mexican-hat form with two local minima similar to that of the quartic Higgs potential in conventional electroweak theory with spontaneous symmetry breaking and mass generation. We demonstrate that this model allows topological solutions — kinks. We analyze the kink excitation spectrum, and show that it does not contain any vibrational modes. We also study the scattering dynamics of kinks for a wide range of initial velocities. The critical value of the initial velocity occurs in kink-antikink collisions, which thus differentiates two regimes. Below this value, we observe the capture of kinks and their fast annihilation; while above this value, the kinks bounce off and escape to spatial infinities. Numerical studies show no resonance phenomena in the kink-antikink scattering.
format	article
author	Ekaterina Belendryasova Vakhid A. Gani Konstantin G. Zloshchastiev
author_facet	Ekaterina Belendryasova Vakhid A. Gani Konstantin G. Zloshchastiev
author_sort	Ekaterina Belendryasova
title	Kink solutions in logarithmic scalar field theory: Excitation spectra, scattering, and decay of bions
title_short	Kink solutions in logarithmic scalar field theory: Excitation spectra, scattering, and decay of bions
title_full	Kink solutions in logarithmic scalar field theory: Excitation spectra, scattering, and decay of bions
title_fullStr	Kink solutions in logarithmic scalar field theory: Excitation spectra, scattering, and decay of bions
title_full_unstemmed	Kink solutions in logarithmic scalar field theory: Excitation spectra, scattering, and decay of bions
title_sort	kink solutions in logarithmic scalar field theory: excitation spectra, scattering, and decay of bions
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/23aadbd080de45b0b6f3286c4699fd49
work_keys_str_mv	AT ekaterinabelendryasova kinksolutionsinlogarithmicscalarfieldtheoryexcitationspectrascatteringanddecayofbions AT vakhidagani kinksolutionsinlogarithmicscalarfieldtheoryexcitationspectrascatteringanddecayofbions AT konstantingzloshchastiev kinksolutionsinlogarithmicscalarfieldtheoryexcitationspectrascatteringanddecayofbions
_version_	1718373019549696000

Kink solutions in logarithmic scalar field theory: Excitation spectra, scattering, and decay of bions

Ejemplares similares