TY - JOUR
T1 - SU(3)/SU(2)
T2 - The simplest Wess-Zumino-Witten term
AU - Hill, Richard J.
PY - 2010/3/31
Y1 - 2010/3/31
N2 - The observation that SU(3)/SU(2)≅S5 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)×SU(3)/SU(3). By reduction of SU(3)×U(1)/SU(2)×U(1) to SU(2)×U(1)/U(1), the construction gives a topological derivation of the WZW term for the standard model Higgs field.
AB - The observation that SU(3)/SU(2)≅S5 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)×SU(3)/SU(3). By reduction of SU(3)×U(1)/SU(2)×U(1) to SU(2)×U(1)/U(1), the construction gives a topological derivation of the WZW term for the standard model Higgs field.
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U2 - 10.1103/PhysRevD.81.065032
DO - 10.1103/PhysRevD.81.065032
M3 - Article
AN - SCOPUS:77951534714
SN - 1550-7998
VL - 81
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 6
M1 - 065032
ER -