Dark monopoles in Grand Unified Theories
- 56 Downloads
We consider a Yang-Mills-Higgs theory with gauge group G = SU(n) broken to Gv = [SU(p) × SU(n − p) × U(1)]/Z by a Higgs field in the adjoint representation. We obtain monopole solutions whose magnetic field is not in the Cartan Subalgebra. Since their magnetic field vanishes in the direction of the generator 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 analyze the particular case of SU(5) GUT, where we obtain that their mass is M = 4πvẼ(λ/e2)/e, where Ẽ(λ/e2) is a monotonically increasing function of λ/e2 with Ẽ(0) = 1.294 and Ẽ(∞) = 3.262. We also give a geometrical interpretation to their non-abelian magnetic charge.
KeywordsGauge Symmetry Solitons Monopoles and Instantons Spontaneous Symmetry Breaking
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
- G. ’t Hooft, Magnetic Monopoles in Unified Gauge Theories, Nucl. Phys. B 79 (1974) 276 [INSPIRE].
- S. Coleman, The Magnetic Monopole Fifty Years Later, in A. Zichichi ed., The Unity of the Fundamental Interactions, Springer, (1983), [INSPIRE].
- A. Vilenkin and E.P.S. Shellard, Cosmic Strings and Other Topological Defects, Cambridge University Press, (1994), [INSPIRE].
- S. Helgason, Differential Geometry, Lie Groups and Symmetric Spaces, Academic Press, INC., (1978).Google Scholar
- W.-K. Tung, Group Theory in Physics, World Scientific, (1985).Google Scholar
- A.P. Balachandran, G. Marmo, N. Mukunda, J.S. Nilsson, E.C.G. Sudarshan and F. Zaccaria, Non-Abelian monopoles break color. I. Classical mechanics, Phys. Rev. D 29 (1984) 2919 [INSPIRE].
- A.P. Balachandran, G. Marmo, N. Mukunda, J.S. Nilsson, E.C.G. Sudarshan and F. Zaccaria, Non-Abelian monopoles break color. II. Field theory and quantum mechanics, Phys. Rev. D 29 (1984) 2936 [INSPIRE].
- S. Coleman, Aspects of Symmetry, Cambridge University Press, (1985).Google Scholar
- E. Kolb and M. Turner, The Early Universe, Addison-Wesley Publishing Company, (1990).Google Scholar
- E.J. Weinberg, Classical Solutions in Quantum Field Theory: Solitons and Instantons in High Eneergy Physics, Cambridge University Press, (2012), [INSPIRE].