Realization of the Schwinger Term in the Gauss Law and the Possibility of Correct Quantization of a Theory with Anomalies

Faddeev, L.D.; Shatashvili, Samson L.

doi:10.1016/0370-2693(86)90604-0

Realization of the Schwinger Term in the Gauss Law and the Possibility of Correct Quantization of a Theory with Anomalies

1986

4 pages

Published in:

Phys.Lett.B 167 (1986) 225-228

Published: 1986

DOI:

10.1016/0370-2693(86)90604-0

View in:

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Abstract: (Elsevier)

The explicit regularization of the Weyl fermion current leading to the anomalous commutation relation of the Gauss law constraint is established. This requires the modification of the canonical quantization of the corresponding gauge model. The modified form of functional integral quantization for this model is proposed.

GAUGE FIELD THEORY: YANG-MILLS
FERMION: CHIRAL
ANOMALY: COMMUTATION RELATIONS
QUANTIZATION: HAMILTONIAN FORMALISM
QUANTIZATION: PATH INTEGRAL
GAUGE FIELD THEORY: GAUSS LAW
FIELD THEORY: SCHWINGER TERMS

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