2004/10/31 by K. Farakos, P. Pasipoularides
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Constant (computer programming) #Cosmology and Gravitation Theories #Dimension (graph theory) #Fermion #Field (mathematics) #Gauge theory #Logarithm #Magnetic field #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum field theory #Quantum mechanics #Scalar (mathematics) #Scalar field #hep-th
paper · pdf · doi:10.1103/physrevd.71.045011
published as Phys.Rev. D71 (2005) 045011 · 18 pages, 4 figures, 2 tables, several corrections
arxiv created 2005/01/20 · openalex publication_date 2005/02/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider a U(1) gauge field theory with fermion fields (or with scalar fields) that live in a space with \ensuremathδ extra compact dimensions, and we compute the fermion-induced quantum energy in the presence of a constant magnetic field, which is directed towards the x3 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>>M2), 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.