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

Rommel Guerrero | Zendy; R. Omar Rodríguez | Zendy; Rafael Chavez | Zendy

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

Author(s) -

Rommel Guerrero,

R. Omar Rodríguez,

Rafael Chavez

Publication year - 2018

Publication title -

revista mexicana de física

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.181

H-Index - 25

eISSN - 2683-2224

pISSN - 0035-001X

DOI - 10.31349/revmexfis.65.69

Subject(s) - physics , eigenvalues and eigenvectors , scalar (mathematics) , mathematical physics , higgs boson , abelian group , bounded function , scalar field , zero mode , space (punctuation) , quantum mechanics , mathematical analysis , mathematics , pure mathematics , geometry , linguistics , philosophy

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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