Stability of spontaneous symmetry breaking in a class of SO(10) models
Absolute minima with specific symmetries are constructed in SO(10) models with the 21/bold 0/ representation. The relation between the appearance of the zeroth-mass order and the stability of symmetry breaking is discussed and a generalization of the Georgi-Glashow theorem is presented. The stability of the SO(10) breaking into /ital H//sub 224/=SU(2)/sub /ital L///times/SU(2)/sub /ital R///times/SU(4), /ital H//sub 2231/ital D//=SU(2)/sub /ital L// /times/SU(2)/sub /ital R///times/U(3)/times//ital D/, and /ital H//sub 2231/=SU(2)/sub /ital L///times/SU(2)/sub /ital R///times/U(3) is studied in a range of scales between 10/sup 16/ GeV and 10/sup 19/ GeV. Starting with a special sum-of-square form of the potential, we find regions of parameters for which the /ital H//sub 224/ and /ital H//sub 2231/ital D// patterns are stable; for the /ital H//sub 2231/ pattern, no such region is found.
- Research Organization:
- Institut fur Theoretische Physik, University of Zurich, Zurich, Switzerland(CH); School of Physics, University of Melbourne, Melbourne, Australia; School of Theoretical Physics, Dublin Institute for Advanced Studies, Dublin, Ireland
- OSTI ID:
- 6391317
- Journal Information:
- Phys. Rev. D; (United States), Vol. 39:10
- Country of Publication:
- United States
- Language:
- English
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SO-10 GROUPS
SYMMETRY BREAKING
GRAND UNIFIED THEORY
HIGGS BOSONS
MASS
PARITY
PERTURBATION THEORY
RENORMALIZATION
SU-2 GROUPS
SU-3 GROUPS
U-1 GROUPS
ELEMENTARY PARTICLES
FIELD THEORIES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
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SO GROUPS
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SYMMETRY GROUPS
U GROUPS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
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