A SU(5) × Z2 kink solution and its local stability

R. Guerrero; R. O. Rodriguez; R. Chavez

doi:10.31349/REVMEXFIS.65.69

A SU(5) × Z₂ kink solution and its local stability

R. Guerrero
, R. O. Rodriguez
, R. Chavez

Research output: Article › peer-review

Abstract

A non-abelian kink inducing asymptotically the breaking pattern SU(5)×Z₂ → SU(4)×U(1)/Z₄ is obtained. We consider a fourth order Higgs potential in a 1 + 1 theory where the scalar field is in the adjoint representation of SU(5). The perturbative stability of the kink is also evaluated. A Schrödinger-like equation for the excitations along each SU(5) generator is determined, and in none of the cases negative eigenvalues compromising the stability of solution are found. In particular, several bounded scalar states are determined, being one of them the translational zero mode of the flat space SU(5) × Z₂ kink.

Original language	English
Pages (from-to)	69-72
Number of pages	4
Journal	Revista Mexicana de Fisica
Volume	65
Issue number	1
DOIs	https://doi.org/10.31349/REVMEXFIS.65.69
Publication status	Published - 2018
Externally published	Yes

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© 2019 Revista Mexicana de Física.

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title = "A SU(5) {\texttimes} Z2 kink solution and its local stability",

abstract = "A non-abelian kink inducing asymptotically the breaking pattern SU(5){\texttimes}Z2 → SU(4){\texttimes}U(1)/Z4 is obtained. We consider a fourth order Higgs potential in a 1 + 1 theory where the scalar field is in the adjoint representation of SU(5). The perturbative stability of the kink is also evaluated. A Schr{\"o}dinger-like equation for the excitations along each SU(5) generator is determined, and in none of the cases negative eigenvalues compromising the stability of solution are found. In particular, several bounded scalar states are determined, being one of them the translational zero mode of the flat space SU(5) {\texttimes} Z2 kink.",

keywords = "Local stability, SU(5) kink",

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year = "2018",

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language = "English",

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AU - Guerrero, R.

AU - Rodriguez, R. O.

AU - Chavez, R.

PY - 2018

Y1 - 2018

N2 - A non-abelian kink inducing asymptotically the breaking pattern SU(5)×Z2 → SU(4)×U(1)/Z4 is obtained. We consider a fourth order Higgs potential in a 1 + 1 theory where the scalar field is in the adjoint representation of SU(5). The perturbative stability of the kink is also evaluated. A Schrödinger-like equation for the excitations along each SU(5) generator is determined, and in none of the cases negative eigenvalues compromising the stability of solution are found. In particular, several bounded scalar states are determined, being one of them the translational zero mode of the flat space SU(5) × Z2 kink.

AB - A non-abelian kink inducing asymptotically the breaking pattern SU(5)×Z2 → SU(4)×U(1)/Z4 is obtained. We consider a fourth order Higgs potential in a 1 + 1 theory where the scalar field is in the adjoint representation of SU(5). The perturbative stability of the kink is also evaluated. A Schrödinger-like equation for the excitations along each SU(5) generator is determined, and in none of the cases negative eigenvalues compromising the stability of solution are found. In particular, several bounded scalar states are determined, being one of them the translational zero mode of the flat space SU(5) × Z2 kink.

KW - Local stability

KW - SU(5) kink

UR - https://www.scopus.com/pages/publications/85106768803

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DO - 10.31349/REVMEXFIS.65.69

M3 - Article

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SN - 0035-001X

VL - 65

SP - 69

EP - 72

JO - Revista Mexicana de Fisica

JF - Revista Mexicana de Fisica

IS - 1

ER -

A SU(5) × Z₂ kink solution and its local stability

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