2014/02/28 by M. A. López-Osorio, E. Martínez-Pascual, H. Novales–Sánchez +2
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Compactification (mathematics) #Cosmology and Gravitation Theories #Extra dimensions #Gauge theory #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Orbifold #Physics #Pure mathematics #Theoretical physics #Universal extra dimension #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.89.116015
published as Phys. Rev. D 89, 116015 (2014) · Minor changes in the Introduction, and some typos corrected
openalex publication_date 2014/06/24 · arxiv created 2015/02/03 · arxiv updated 2015/02/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The well-known Yang-Mills theory with one S1/Z2 universal extra dimension (UED) is generalized to an arbitrary number of spatial extra dimensions through a novel compactification scheme. In this paper, the Riemannian flat base manifold under consideration contains n spatial extra dimensions defined by n copies of the orbifold S1/Z2. In this approach, we present the gauge structure and the mass spectrum of the effective four-dimensional theory. We introduce the concept of standard and nonstandard gauge transformations of the effective theory, and explicitly identify the emergence of massive vector fields in the same number as massless (``pseudo-Goldstone'') scalars in the compactified theory, verifying that a Higgs-like mechanism operates in the compactification process. It is found that, in contrast with the one-UED scenario, in cases with two or more UEDs there emerge massive scalar fields. Besides, at the phase-space level, the Hamiltonian analysis yields that the higher-dimensional and compactified theories are classically equivalent using the fundamental concept of canonical transformation. This work lays the ground for a wider study on these theories concerning their quantization and predictive power at the level of quantum fluctuations.