SU(3)/SU(2): The simplest Wess-Zumino-Witten term

Journal Article · Mon Mar 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.065032· OSTI ID:21409437

Hill, Richard J ^[1]

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1. Enrico Fermi Institute and Department of Physics, University of Chicago, Chicago, Illinois 60637 (United States)

The observation that SU(3)/SU(2) congruent with S{sup 5} implies the existence of a particularly simple quantized topological action, or Wess-Zumino-Witten (WZW) term. This action plays an important role in anomaly cancellation in extensions of the standard model electroweak sector. A closed form is presented for the action coupled to arbitrary gauge fields. The action is shown to be equivalent to a limit of the WZW term for SU(3)xSU(3)/SU(3). By reduction of SU(3)xU(1)/SU(2)xU(1) to SU(2)xU(1)/U(1), the construction gives a topological derivation of the WZW term for the standard model Higgs field.

• OSTI ID: 21409437
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CANCELLATION
ELEMENTARY PARTICLES
FIELD THEORIES
GRAND UNIFIED THEORY
HIGGS BOSONS
HIGGS MODEL
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
STANDARD MODEL
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
TOPOLOGY
U GROUPS
U-1 GROUPS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
WEINBERG-SALAM GAUGE MODEL