Spontaneous Compactification of Extra Dimensions in Eleven-Dimensional Quantum Gravity

1986 ◽  
Vol 34 (7) ◽  
pp. 441-455 ◽  
Author(s):  
Nguyen van Hieu
1993 ◽  
Vol 08 (16) ◽  
pp. 1487-1494 ◽  
Author(s):  
BISWAJOY BRAHMACHARI ◽  
P.K. PATRA ◽  
UTPAL SARKAR ◽  
K. SRIDHAR

We consider the modification of the minimal SU(5) Lagrangian due to higher-dimensional operators, arising from quantum gravity effects or from spontaneous compactification of extra dimensions in Kaluza-Klein type theories. Due to these operators the SU (3)c, SU (2)L and U (1)Y couplings do not meet at all at the unification scale, MU, and the magnitudes of the mismatch are directly related to the couplings of the higher-dimensional operators. In particular, we consider five- and six-dimensional operators and show that a large range of values of couplings of these operators are compatible with the latest values of sin 2 θW and as derived from LEP, and also with the experimental constraints on MU coming from proton lifetime.


1999 ◽  
Vol 14 (33) ◽  
pp. 2321-2328 ◽  
Author(s):  
Z. K. SILAGADZE

Recently proposed low scale quantum gravity scenario is expected to have a significant impact on the mirror world hypothesis. Some aspects of this influence is investigated here, assuming that the fundamental gravity scale is near a TeV. It is shown that future colliders will be capable of producing the mirror matter, but an experimental signature, which will distinguish such events from the background, is not clear. The "smoking gun" signals of the mirror world would be an observation of decays like [Formula: see text]. But unfortunately the expected branching ratios are very small. Finally, it is shown that a mirror supernova will be quite a spectacular event for our world too, because a considerable amount of ordinary energy is expected to be emitted in the first few seconds.


1992 ◽  
Vol 07 (14) ◽  
pp. 3203-3233 ◽  
Author(s):  
I. L. BUCHBINDER ◽  
S. D. ODINTSOV ◽  
O. A. FONAREV

For the first time we present the general formalism and results of calculation of the two-loop effective action in Einstein quantum gravity on the background MN × Tk, where MN is Minkowski space and Tk is a k-dimensional torus. We discuss the case of a zero cosmological constant as well as of a nonzero one. The method of calculating variations of the action on a metric tensor and the technique of calculating momentum integrals in dimensional regularization are presented. Some applications to spontaneous compactification are discussed, as well as some prospects.


1992 ◽  
Vol 07 (26) ◽  
pp. 2369-2376 ◽  
Author(s):  
E. ELIZALDE ◽  
S. D. ODINTSOV

Spontaneous compactification – on a R1 × S1 background – in 2D induced quantum gravity (considered as a toy model for more fundamental quantum gravity) is analyzed in the gauge-independent effective action formalism. It is shown that such compactification is stable, in contradistinction to multidimensional quantum gravity on a RD × S1(D > 2) background – which is known to be one-loop unstable.


1988 ◽  
Vol 31 (10) ◽  
pp. 826-829
Author(s):  
S. D. Odintsov ◽  
V. M. Shakhmatov

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