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

K. Farakos·P. Pasipoularides
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Abstract

We consider a U(1) gauge field theory with fermion fields (or with scalar fields) that live in a space with $δ$ 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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K. Farakos, P. Pasipoularides. 2005-01-20. Extra-Dimensions effects on the fermion-induced quantum energy in the presence of a constant magnetic field. https://doi.org/10.1103/physrevd.71.045011

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