2010/02/15 by Fernand Grard, F. Grard, J. Nuyts +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Boundary (topology) #Boundary value problem #Brane #Computer science #Cosmology and Gravitation Theories #Dimension (graph theory) #Extra dimensions #Gauge (firearms) #Geometry #Kaluza–Klein theory #Lagrangian #Magnetic field #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #Scalar potential #Space (punctuation) #Theoretical physics #Universal extra dimension #Vector field #Vector operator #Vector potential #Warp drive #hep-th
paper · pdf · doi:10.1088/0954-3899/38/9/095004
published in Journal of Physics G Nuclear and Particle Physics 38(9), 095004 (IOP Publishing) · 28 pages, 4 independent tables
arxiv created 2010/02/15 · openalex publication_date 2011/07/27 · arxiv updated 2015/05/18 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
Abstract\nWe consider a free real vector field propagating in a five dimensional flat space with its fifth dimension compactified either on a strip or on a circle and perform a Kaluza-Klein reduction which breaks SO(4, 1) invariance while preserving SO(3, 1) invariance. Taking into account the Lorenz gauge condition, we obtain from the most general hermiticity conditions for the relevant operators all the allowed boundary conditions which have to be imposed on the fields in the extra-dimension. The physical Kaluza-Klein mass towers, which result in a four-dimensional brane, are determined in the different distinct allowed cases. They depend on the bulk mass, on the parameters of the boundary conditions and on the extra parameter present in the Lagrangian. They involve vector states together, currently, with accompanying mass shifted scalar states.