Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-09-09
Prog.Theor.Phys.111:265-289,2004
Physics
High Energy Physics
High Energy Physics - Phenomenology
29 pages. Numerical errors in the effective potential are corrected
Scientific paper
10.1143/PTP.111.265
The dynamical determination of the boundary conditions in SU(N) gauge theory on the orbifold $S^1/Z_2$ is investigated. We classify the equivalence classes of the boundary conditions, and then the vacuum energy density of the theory in each equivalence class is evaluated at one loop order. Unambiguous comparison of the vacuum energy densities in the two theories in different equivalence classes becomes possible in supersymmetric theories. It is found that in the supersymmetric SU(5) models with the Scherk-Schwarz supersymmetry breaking, the theory with the boundary conditions yielding the standard model symmetry is in the equivalence class with the lowest energy density, though the low energy theory is not identically the minimal supersymmetric standard model. We also study how particular boundary conditions are chosen in the cosmological evolution of the universe.
Haba Naoyuki
Hosotani Yutaka
Kawamura Yoshiharu
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