Fermion zero modes in the presence of non-abelian vortices

Sumit R. Das

doi:10.1016/0550-3213(83)90569-2

Fermion zero modes in the presence of non-abelian vortices

Sumit R. Das

Producción científica: Article › revisión exhaustiva

12 Citas (Scopus)

Resumen

The Dirac equation in the presence of non-abelian vortices is investigated . For isospinor fermions coupled to the vortex in the SU(2) Nielsen-Olesen model, there are normalisable well-behaved zero-energy solutions. When the fermions are in the adjoint representation there are no normalisable zero modes. The Z₂ vortex appearing in a SO(10) theory is explicitly constructed and it is shown that the heavy neutrino can be bound to it in a zero-energy state.

Idioma original	English
Páginas (desde-hasta)	462-476
Número de páginas	15
Publicación	Nuclear Physics B
Volumen	227
N.º	3
DOI	https://doi.org/10.1016/0550-3213(83)90569-2
Estado	Published - nov 7 1983

Nota bibliográfica

Funding Information:
* Work supported in part by the NSF: PHY-79-23669.

Financiación

* Work supported in part by the NSF: PHY-79-23669.

Financiadores	Número del financiador
National Science Foundation (NSF)	PHY-79-23669

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(83)90569-2

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title = "Fermion zero modes in the presence of non-abelian vortices",

abstract = "The Dirac equation in the presence of non-abelian vortices is investigated . For isospinor fermions coupled to the vortex in the SU(2) Nielsen-Olesen model, there are normalisable well-behaved zero-energy solutions. When the fermions are in the adjoint representation there are no normalisable zero modes. The Z2 vortex appearing in a SO(10) theory is explicitly constructed and it is shown that the heavy neutrino can be bound to it in a zero-energy state.",

author = "Das, \{Sumit R.\}",

note = "Funding Information: * Work supported in part by the NSF: PHY-79-23669.",

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AU - Das, Sumit R.

N1 - Funding Information: * Work supported in part by the NSF: PHY-79-23669.

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Y1 - 1983/11/7

N2 - The Dirac equation in the presence of non-abelian vortices is investigated . For isospinor fermions coupled to the vortex in the SU(2) Nielsen-Olesen model, there are normalisable well-behaved zero-energy solutions. When the fermions are in the adjoint representation there are no normalisable zero modes. The Z2 vortex appearing in a SO(10) theory is explicitly constructed and it is shown that the heavy neutrino can be bound to it in a zero-energy state.

AB - The Dirac equation in the presence of non-abelian vortices is investigated . For isospinor fermions coupled to the vortex in the SU(2) Nielsen-Olesen model, there are normalisable well-behaved zero-energy solutions. When the fermions are in the adjoint representation there are no normalisable zero modes. The Z2 vortex appearing in a SO(10) theory is explicitly constructed and it is shown that the heavy neutrino can be bound to it in a zero-energy state.

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UR - https://www.scopus.com/pages/publications/24444432683#tab=citedBy

U2 - 10.1016/0550-3213(83)90569-2

DO - 10.1016/0550-3213(83)90569-2

M3 - Article

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VL - 227

SP - 462

EP - 476

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

Fermion zero modes in the presence of non-abelian vortices

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

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