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By D. Kazakov

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Notes Phys. 176 (1982) 267 [hep-th/0001113]. G. Dvali and M. Shifman, Phys. Lett. B396 (1997) 64. [59] T. Appelquist, A. O. Freund, ”Modern Kaluza-Klein Theories”. Reading, MA, Addison-Wesley, 1987. D. , Phys. Rev. Lett. 86 (2001) 1418 [hep-ph/0011014]. F. Giudice, R. D. Wells, Nucl. Phys. B544 (1999) 3 [hep-ph/9811291]. L. Hewett, Phys. Rev. Lett. 82 (1999) 4765 [hep-ph/9811356]. [63] T. D. Lykken and Ren-Jie Zhang, Phys. Rev. A. Mirabelli, M. E. Peskin, Phys. Rev. Lett. G. Rizzo, Phys. Rev. D59 (1999) 115010 [hep-ph/9901209]; [65] K.

Figure 24: Two possible constructions of the Extra dimensions At the same time, recently there appeared an alternative explanation. This one is related to the so-called brane-world picture [56, 57]. 24). This is similar to being confined in a potential well and not being able to escape it if the energy is not big enough. To get an example of such a localization, consider some classical solution of the form of a kink [58].

For d=2 d=3 d=6 R−1 ∼ 10−3 eV R−1 ∼ 100 eV ... 1 mm, R ∼ 10−7 cm, ... R ∼ 10−12 cm, Such sizes of extra dimensions are already acceptable because no deviations from the Newtonian gravity have been observed for distances r ∼ 1 mm so far (see, for example, [60]). On the other hand, the SM has been accurately checked already at the scale ∼ 100 GeV. To overcome this difficulty it is supposed [56] that the SM fields are localized on the 4d brane while only gravitons propagate in the bulk. At the same time, these conclusions strongly depend on the choice of the scale M.

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