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- Title
Monopoles and Family-Replicated Unification.
- Authors
Laperashvili, L. V.; Nielsen, H. B.; Ryzhikh, D. A.
- Abstract
The present theory is based on the assumption that, at very small (Planck scale) distances our spacetime is discrete, and this discreteness influences the Planck scale physics. Considering our (3 + 1)-dimensional spacetime as a regular hypercubic lattice with a parameter a = λ[sub Pl], where λ[sub Pl] is the Planck length, we have investigated a role of lattice artifact monopoles, which is essential near the Planck scale if the family-replicated gauge group model (FRGGM) is an extension of the Standard Model (SM) at high energies. It was shown that monopoles have N times smaller magnetic charge in the FRGGM than in the SM (N is the number of families in the FRGGM). These monopoles can give an additional contribution to β functions of the renormalization-group equations for the running fine structure constants α[sub i](μ)(i = 1, 2, 3 correspond to the U(1), SU(2), and SU(3) gauge groups of the SM). We have used the Dirac relation for renormalized electric and magnetic charges. Also, we have estimated the enlargement of a number of fermions in the FRGGM leading to the suppression of the asymptotic freedom in the non-Abelian theory. The different role of monopoles in the vicinity of the Planck scale gives rise either to anti-GUT or to the new possibility of unification of gauge interactions (including gravity) at the scale μ[sub GUT] ≈ 10[sup 18.4] GeV. We discussed the possibility of the [SU(5)][sup 3] SUSY or [SO(10)][sup 3] SUSY unifications.© 2003 MAIK “Nauka / Interperiodica”.
- Subjects
EQUATIONS; FERMIONS; THEORY; GRAVITY
- Publication
Physics of Atomic Nuclei, 2003, Vol 66, Issue 11, p2070
- ISSN
1063-7788
- Publication type
Article
- DOI
10.1134/1.1625750