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Universal Landau Pole · Around

2013

Universal Landau Pole

Andrianov, A. A., Espriu, D., Kurkov, M. A. et al.

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Our understanding of quantum gravity suggests that at the Planck scale the usual geometry loses its meaning.

If so, the quest for grand unification in a large non-abelian group naturally endowed with the property of asymptotic freedom may also lose its motivation.
Instead we propose an unification of all fundamental interactions at the Planck scale in the form of a Universal Landau Pole (ULP), at which all gauge couplings diverge.
The Higgs quartic coupling also diverges while the Yukawa couplings vanish.

Built on

L. D. Landau, A. A. Abrikosov, and I. M. Khalatnikov, Dokl. Akad. Nauk SSSR 95, 497, 773, 1177 (1954); L.D.Landau, I.Ya.Pomeranchuk, Dokl. Akad. Nauk SSSR 102, 489 (1955)
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N. V. Krasnikov, Yad. Fiz. 28 (1978) 549; P.Q. Hung, Phys. Rev. Lett. 42 (1979) 873; H.D. Politzer and S. Wolfram, Phys. Lett. B 82 (1979) 242 [Erratum ibid. 83B (1979) 421]
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C. Liu, “[SU(3) x SU(2) x U(1)]**2 and strong unification,” Phys. Lett. B 591
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S. Weinberg, Ultraviolet divergences in quantum theories of gravitation,â in: General Relativity. (S. W. Hawking and W. Israel, eds.), Cambridge Univ. Press, Cambridge (1979), p. 790 - 831; M. Niedermaier and M. Reuter, Living Rev. Rel., 9, 2006-5 (2006)
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J. Elias-Miro, J. R. Espinosa, G. F. Giudice, G. Isidori, A. Riotto and A. Strumia, “Higgs mass implications on the stability of the electroweak vacuum,” Phys. Lett. B 709
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K. G. Chetyrkin and M. F. Zoller, “Three-loop β \beta -functions for top-Yukawa and the Higgs self-interaction in the Standard Model,” JHEP 1206
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Later among the works it cites.
See e.g. A. Lenz, Advances in High Energy Physics 2013 (2013), 910275, http://dx.doi.org/10.1155/2013/910275
2013
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