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JOURNALS // Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki // Archive

Pis'ma v Zh. Èksper. Teoret. Fiz., 2013 Volume 97, Issue 6, Pages 340–343 (Mi jetpl3374)

This article is cited in 5 papers

FIELDS, PARTICLES, AND NUCLEI

Standard Model Higgs field and energy scale of gravity

F. R. Klinkhamer

Institute for Theoretical Physics, Universität Karlsruhe

Abstract: The effective potential of the Higgs scalar field in the Standard Model may have a second degenerate minimum at an ultrahigh vacuum expectation value. This second minimum then determines, by radiative corrections, the values of the top-quark and Higgs-boson masses at the standard minimum corresponding to the electroweak energy scale. An argument is presented that this ultrahigh vacuum expectation value is proportional to the energy scale of gravity, $E_{\text{Planck}} \equiv \sqrt{\hbar\, c^5/G_{N}}$, considered to be characteristic of a spacetime foam. In the context of a simple model, the existence of kink-type wormhole solutions places a lower bound on the ultrahigh vacuum expectation value and this lower bound is of the order of $E_{\text{Planck}}$.

Received: 11.02.2013

Language: English

DOI: 10.7868/S0370274X13060027


 English version:
Journal of Experimental and Theoretical Physics Letters, 2013, 97:6, 297–300

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