Extra dimensions as a source of the electroweak model

Abstract

The Higgs boson of the Standard model is described by a set of off-diagonal components of the multidimensional metric tensor, as well as the gauge fields. In the low-energy limit, the basic properties of the Higgs boson are reproduced, including the shape of the potential and interactions with the gauge fields of the electroweak part of the Standard model.Comment: 11 pages, revtex4. Some wording changed, misprints corrected, 1 reference adde

Neutrino mixing in accelerated proton decays

“…No axiomatic construction such as found in [27,28] is known for interacting theories, which are defined only perturbatively, so care needs to be taken in applying conclusions from axiomatic field theories to theories with non-trivial vacua. It is well known that condensates break general covariance to zeroth order: in gravity, a Higgs-like mechanism is a common method to introduce consistently additional gravitational degrees of freedom [49], or see [50] for an example in the context of higherdimensional extensions of the Standard Model. The full symmetry is restored only by constraining the higherorder interactions among new degrees of freedom on these backgrounds.…”

Higgs-Like Field and Extra Dimensions

“…Up to now we have not considered the transformation properties of the field ha and its relation to the Higgs field H of the Standard Model. This point was discussed in [27] and we shortly remind the idea.…”

“…We also use the notations e 2 = e 2 a = e 2 5 + e 2 6 + e 2 7 + e 2 8 valid for the Euclidean geometry of the subspace V4 and e = √ e 2 . To facilitate the analysis, slow motion approximation [27] will be used. In our case this approximation is correct if the Ricci scalar R6 of the extra space is large comparing to the other terms in (4).…”

“…Our study follows the general direction associated with the UED - [23], [24], [25], [26] and based on the idea elaborated in the paper [27]. In the latter paper, the form of Higgs-like potential depends on initial conditions of extra metric evolution what leads to problems with extracting specific values of the initial parameters from an experimental data.…”

Centenary of Einstein’s general relativity. Its present extensions

“…A large class of viable cosmologies on the basis of curvature-nonlinear gravitational Lagrangians, containing functions of the multidimensional Ricci scalar and other curvature invariants (the Ricci tensor squared and the Kretschmann scalar) have been constructed [22][23][24][25][26][27]. This approach has also allowed us to suggest a possible mechanism of a multidimensional origin of the electroweak theory [24,25].…”