Construction of anomaly functional and current algebra

An iterative method is used to construct the anomaly functional. The functional is a non-local functional of the gauge fields only. Some consequences of the functional are studied; in particular it is shown that the anomaly functional contributes to the commutators of the charge densities. in 1 + 1...

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Bibliographic Details
Published in:Physics letters. B 1991-10, Vol.268 (1), p.64-70
Main Authors: Chang, Lay Nam, Liang, Yigao
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Quantum mechanics
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Summary:An iterative method is used to construct the anomaly functional. The functional is a non-local functional of the gauge fields only. Some consequences of the functional are studied; in particular it is shown that the anomaly functional contributes to the commutators of the charge densities. in 1 + 1 dimensions, the usual Kac-Moody extension term appears, in agreement with previous results. In 3 + 1 dimensions, in addition to the gauge field dependent term, we uncover a contribution of the functional to the triple commutator of the charge densities. An infinite-dimensional Lie algebra that incorporates this contribution is proposed.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(91)90923-E