Extra-Dimensions effects on the fermion-induced quantum energy in the presence of a constant magnetic field

Details Extra-Dimensions effects on the fermion-induced quantum energy in the presence of a constant magnetic field Extra-Dimensions effects on the fermion-induced quantum energy in the presence of a constant magnetic field

2004-10-02

arxiv.org/abs/hep-th/0410020v2

Phys.Rev. D71 (2005) 045011

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 4 figures, 2 tables, several corrections

Scientific paper

10.1103/PhysRevD.71.045011

We consider a U(1) gauge field theory with fermion fields (or with scalar fields) that live in a space with $\delta$ extra compact dimensions, and we compute the fermion-induced quantum energy in the presence of a constant magnetic field, which is directed towards the x_3 axis. Our motivation is to study the effect of extra dimensions on the asymptotic behavior of the quantum energy in the strong field limit (eB>>M^{2}), where M=1/R. We see that the weak logarithmic growth of the quantum energy for four dimensions, is modified by a rapid power growth in the case of the extra dimensions.

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