Point Splitting Analysis of Commutator Anomalies in Nonabelian Chiral Gauge Theories - INSPIRE

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Point Splitting Analysis of Commutator Anomalies in Nonabelian Chiral Gauge Theories

S. Ghosh
(
- Saha Inst.
)
,
R. Banerjee
(
- Saha Inst.
)

Oct 8, 1987

34 pages

Published in:

Z.Phys.C 41 (1988) 121

DOI:

10.1007/BF01412586

Report number:

SINP-TNP/87-26

reference search32 citations

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Abstract: (Springer)

A gauge covariant point-splitting regularisation is employed to calculate different anomalous commutators in four dimensional chiral gauge theories. For an external gauge field the fixed time anomalous commutator of the gauge group generators is seen to violate the Jacobi identity. The cohomological prediction can be confirmed provided the electric fields do not commute. Other commutators like the current-current and current-electric field are consistent with the Bjorken-Johnson-Low (BJL) derivation.

GAUGE FIELD THEORY: TWO-DIMENSIONAL
GAUGE FIELD THEORY: FOUR-DIMENSIONAL
GAUGE FIELD THEORY: YANG-MILLS
FERMION: CHIRAL
CURRENT ALGEBRA: COMMUTATION RELATIONS
ANOMALY
RENORMALIZATION: REGULARIZATION

References(25)

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