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Spinor domain wall and test fermions on an arbitrary domain wall.

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Title: Spinor domain wall and test fermions on an arbitrary domain wall.
Authors: Dzhunushaliev, Vladimir1,2,3,4 (AUTHOR), Folomeev, Vladimir2,3,4 (AUTHOR) vfolomeev@mail.ru, Zholdakhmet, Dina1,2 (AUTHOR)
Source: European Physical Journal C -- Particles & Fields. Jun2023, Vol. 83 Issue 6, p1-11. 11p.
Subjects: Fermions, Lorentz groups, Generators of groups, Electromagnetic fields, Magnetic fields
Abstract: We consider a spinor domain wall embedded in a five-dimensional spacetime with a nondiagonal metric. The corresponding plane symmetric solutions for linear and nonlinear spinor fields with different parameters are obtained. It is shown that in the general case the metric functions and spinor fields do not possess Z 2 symmetry with respect to the domain wall. We study the angular momentum density of the domain wall arising because of the presence of the spinor field creating the wall. The properties of test fermions located on an arbitrary domain wall are considered. The concepts of the "second spin" (arising due to the properties of the Lorentz group generators in a five-dimensional spacetime) and of the "second magnetic field" (representing the components F i 5 of the electromagnetic field five-tensor) are introduced. We find eigenspinors of the "second spin" and show that some of them represent the Bell states. In the nonrelativistic limit we derive the Pauli equation for the test fermions on the domain wall which contains an extra term describing the interaction of a spin-1/2 particle with the "second magnetic field"; this allows the possibility of an experimental verification of the existence of extra dimensions. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Spinor domain wall and test fermions on an arbitrary domain wall.
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  Data: <searchLink fieldCode="AR" term="%22Dzhunushaliev%2C+Vladimir%22">Dzhunushaliev, Vladimir</searchLink><relatesTo>1,2,3,4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Folomeev%2C+Vladimir%22">Folomeev, Vladimir</searchLink><relatesTo>2,3,4</relatesTo> (AUTHOR)<i> vfolomeev@mail.ru</i><br /><searchLink fieldCode="AR" term="%22Zholdakhmet%2C+Dina%22">Zholdakhmet, Dina</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Jun2023, Vol. 83 Issue 6, p1-11. 11p.
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  Data: <searchLink fieldCode="DE" term="%22Fermions%22">Fermions</searchLink><br /><searchLink fieldCode="DE" term="%22Lorentz+groups%22">Lorentz groups</searchLink><br /><searchLink fieldCode="DE" term="%22Generators+of+groups%22">Generators of groups</searchLink><br /><searchLink fieldCode="DE" term="%22Electromagnetic+fields%22">Electromagnetic fields</searchLink><br /><searchLink fieldCode="DE" term="%22Magnetic+fields%22">Magnetic fields</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We consider a spinor domain wall embedded in a five-dimensional spacetime with a nondiagonal metric. The corresponding plane symmetric solutions for linear and nonlinear spinor fields with different parameters are obtained. It is shown that in the general case the metric functions and spinor fields do not possess Z 2 symmetry with respect to the domain wall. We study the angular momentum density of the domain wall arising because of the presence of the spinor field creating the wall. The properties of test fermions located on an arbitrary domain wall are considered. The concepts of the "second spin" (arising due to the properties of the Lorentz group generators in a five-dimensional spacetime) and of the "second magnetic field" (representing the components F i 5 of the electromagnetic field five-tensor) are introduced. We find eigenspinors of the "second spin" and show that some of them represent the Bell states. In the nonrelativistic limit we derive the Pauli equation for the test fermions on the domain wall which contains an extra term describing the interaction of a spin-1/2 particle with the "second magnetic field"; this allows the possibility of an experimental verification of the existence of extra dimensions. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1140/epjc/s10052-023-11742-1
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      – Code: eng
        Text: English
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        PageCount: 11
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      – SubjectFull: Fermions
        Type: general
      – SubjectFull: Lorentz groups
        Type: general
      – SubjectFull: Generators of groups
        Type: general
      – SubjectFull: Electromagnetic fields
        Type: general
      – SubjectFull: Magnetic fields
        Type: general
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      – TitleFull: Spinor domain wall and test fermions on an arbitrary domain wall.
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            NameFull: Dzhunushaliev, Vladimir
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            NameFull: Folomeev, Vladimir
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            NameFull: Zholdakhmet, Dina
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            – D: 01
              M: 06
              Text: Jun2023
              Type: published
              Y: 2023
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            – TitleFull: European Physical Journal C -- Particles & Fields
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