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8–10 Dec 2021
Virtual Meeting, Universidade Federal da Bahia, Brazil
America/Bahia timezone

Dark Monopoles in Grand Unified Theories

10 Dec 2021, 15:15
10m
Virtual Meeting, Universidade Federal da Bahia, Brazil

Virtual Meeting, Universidade Federal da Bahia, Brazil

Universidade Federal da Bahia Campus Universitário de Ondina Rua Barão de Jeremoabo , s/n Salvador, Bahia Brazil CEP: 40170-115

Speaker

Ms Maria de Lourdes Deglmann

Description

We consider a Yang-Mills-Higgs theory with gauge group G=SU(n) broken to Gv=[SU(p)×SU(np)×U(1)]/Z by a Higgs field ϕ in the adjoint representation. We obtain monopole solutions whose magnetic field does not lie in the Cartan Subalgebra. And, since their magnetic field vanishes in the direction of the U(1)em electromagnetic group, we call them Dark Monopoles. These Dark Monopoles must exist in some Grand Unified Theories (GUTs) without the need to introduce a dark sector. We calculate the general hamiltonian and equations of motion, while we also obtain approximate analytical solutions when r0 and r. We show that their mass is given by M=4πveE~(λ/e2), where E~(λ/e2) is a monotonically increasing function of λ/e2, with the lower and upper bounds depending on specific parameters of each possible symmetry breaking. For the particular case of the SU(5) GUT, we obtain that E~(0)=1.294 and E~()=3.262. In addition, we give a geometrical interpretation to their non-abelian magnetic charge and we show that our monopole solution has a conserved magnetic current JMμ, which is quantized and lies in a non-abelian direction. Finally, we proceed with an asymptotic stability analysis of these SU(n) Dark Monopole solutions, where we show that there are unstable modes associated with them. We obtain the explicit form of the unstable perturbations and the associated negative-squared eigenfrequencies.

Author

Co-author

Dr Marco A.C. Kneipp (Universidade Federal de Santa Catarina)

Presentation materials