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

Abstract

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.

18 pages, 4 figures, 2 tables, several corrections

References in corpus (2)

• Effective potential analysis for 5D SU(2) gauge theories at finite temperature and radius
• Cosmological constraints from extra-dimension induced domain walls

Cited by in corpus (1)

• Vacuum polarization for compactified $QE{D}_{4+1}$ in a magnetic flux background