A SU(5)xZ2 kink solution and its local stability

Authors

  • Rommel Guerrero Escuela Superior Politécnica de Chimborazo
  • Rafael Omar Rodriguez Escuela Superior Politécnica de Chimborazo
  • Rafael Alejandro Chavez Universidad Politécnica Salesiana

DOI:

https://doi.org/10.31349/RevMexFis.65.69

Keywords:

$SU(5)$ kink, local stability

Abstract

A non-abelian kink inducing asymptotically the breaking pattern $SU(5)\times Z_2\rightarrow SU(4)\times U(1)/Z_4$ 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 also is evaluated. A Schr\"odinger-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 among them the translational zero mode of the flat space $SU(5)\times Z_2$ kink.

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Published

2018-12-31

How to Cite

[1]
R. Guerrero, R. O. Rodriguez, and R. A. Chavez, “A SU(5)xZ2 kink solution and its local stability”, Rev. Mex. Fís., vol. 65, no. 1 Jan-Feb, pp. 69–72, Dec. 2018.

Issue

Vol. 65 No. 1 Jan-Feb (2019): Revista Mexicana de Física

Section

07 Gravitation, Mathematical Physics and Field Theory

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.