2017/04/30 by Kentaro Kojima, Kazunori Takenaga, Toshifumi Yamashita
Physics and Astronomy · #Black Holes and Theoretical Physics #Gauge (firearms) #Gauge anomaly #Gauge symmetry #Gauge theory #Global symmetry #Grand Unified Theory #Noncommutative and Quantum Gravity Theories #Orbifold #Quantum Chromodynamics and Particle Interactions #Standard Model (mathematical formulation) #Supersymmetric gauge theory #Symmetry (geometry) #hep-ph
paper · pdf · doi:10.1007/jhep06(2017)018
34 pages, 1 figure, clarifications added in Sec. 6, published version
openalex created_date 2017/05/26 · openalex publication_date 2017/06/01 · arxiv created 2017/06/19 · arxiv updated 2017/06/28 · openalex updated_date 2026/08/05
We study grand unified models in the five-dimensional space-time where the extra dimension is compactified on S 1/ℤ 2. The spontaneous breaking of unified gauge symmetries is achieved via vacuum expectation values of the extra-dimensional components of gauge fields. We derive one-loop effective potentials for the zero modes of the gauge fields in SU(7), SU(8), SO(10), and E 6 models. In each model, the rank of the residual gauge symmetry that respects the boundary condition imposed at the orbifold fixed points is higher than that of the standard model. We verify that the residual symmetry is broken to the standard model gauge symmetry at the global minima of the effective potential for certain sets of bulk fermion fields in each model.