Extrema of SU(n) Higgs potentials and symmetry-breaking pattern

Journal Article · Wed Oct 15 04:00:00 EDT 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.22.2040· OSTI ID:5001477

Ruegg, H

It is shown that the most general renormalizable Higgs potential for the adjoint representation phi of SU(n) has extrema only if at most two eigenvalues of phi are different. This result is used to find the symmetry-breaking pattern due to scalar fields in the adjoint and fundamental representations of SU(n).

• Research Organization: Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 5001477
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 22:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645301* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EIGENSTATES
HIGGS MODEL
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
RENORMALIZATION
SCALAR FIELDS
SU GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
VACUUM STATES