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: Contribution to journal › 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
State	Published - 2018
Externally published	Yes

Bibliographical note

Funding Information:
We wish to thank Adriana Araujo for her collaboration to complete this paper. This work was partially financed by UPS project. R. Guerrero and R. O. Rodriguez wish to thank ES-POCH for hospitality during the completion of this work.

Publisher Copyright:
© 2019 Revista Mexicana de Física.

Keywords

Local stability
SU(5) kink

Access to Document

10.31349/REVMEXFIS.65.69

Cite this

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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 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) × Z2 kink.",

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