Random Dynamics, Three Generations, and Skewness

Nielsen, Holger Bech

doi:10.1007/978-1-4615-3374-0_9

Quantum Mechanics of Fundamental Systems 3

1992

DOI: 10.1007/978-1-4615-3374-0_9

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Random Dynamics, Three Generations, and Skewness

Holger Bech Nielsen

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2003

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Monopoles Near the Planck Scale and Unification

Лаперашвили

Ryzhikh

Nielsen³

2003

Int. J. Mod. Phys. A

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Considering our (3 + 1)-dimensional space-time as, in some way, discrete or lattice with a parameter a = λ P , where λ P is the Planck length, we have investigated the additional contributions of lattice artifact monopoles to beta-functions of the renormalisation group equations for the running fine structure constants α i (µ) (i=1,2,3 correspond to the U(1), SU(2) and SU (3) gauge groups of the Standard Model) in the Family Replicated Gauge Group Model (FRGGM) which is an extension of the Standard Model at high energies. It was shown that monopoles have N f am times smaller magnetic charge in FRGGM than in SM (N f am is the number of families in FRGGM). We have estimated also the enlargement of a number of fermions in FRGGM leading to the suppression of the asymptotic freedom in the non-Abelian theory. We have shown that, in contrast to the case of AntiGUT when the FRGGM undergoes the breakdown at µ = µ G ∼ 10 18 GeV, we have the possibility of unification if the FRGGM-breakdown occurs at µ G ∼ 10 14 GeV. By numerical calculations we obtained an example of the unification of all gauge interactions (including gravity) at the scale µ GU T ≈ 10 18.4 GeV. We discussed the possibility of [SU (5)] 3 or [SO(10)] 3 (SUSY or not SUSY) unifications.

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Monopoles Near the Planck Scale and Unification

Лаперашвили

Ryzhikh

Nielsen³

2003

Int. J. Mod. Phys. A

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Random Dynamics, Three Generations, and Skewness

Cited by 1 publication

References 5 publications

Monopoles Near the Planck Scale and Unification

Monopoles Near the Planck Scale and Unification

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