The Gauss Law Operator Algebra and Double Commutators in Chiral Gauge Theories

Details The Gauss Law Operator Algebra and Double Commutators in Chiral Gauge Theories The Gauss Law Operator Algebra and Double Commutators in Chiral Gauge Theories

1997-01-08

arxiv.org/abs/hep-th/9701029v1

Phys.Rev. D57 (1998) 1193-1202

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, latex, no figure

Scientific paper

10.1103/PhysRevD.57.1193

We calculate within an algebraic Bjorken-Johnson-Low (BJL) method anomalous Schwinger terms of fermionic currents and the Gauss law operator in chiral gauge theories. The current algebra is known to violate the Jacobi identity in an iterative computation. Our method takes the subtleties of the equal-time limit into account and leads to an algebra that fulfills the Jacobi identity. The non-iterative terms appearing in the double commutators can be traced back directly to the projective representation of the gauge group.

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