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

Journal Article · Mon Mar 15 00:00:00 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, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevD.81.065032; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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