QJT as a Regularization: Origin of the New Gauge Anomalies

Details QJT as a Regularization: Origin of the New Gauge Anomalies QJT as a Regularization: Origin of the New Gauge Anomalies

2009-05-25

arxiv.org/abs/0905.4043v1

Physics

General Physics

30 pages

Scientific paper

QJT is considered as a regularization of QFT, where the fields are replaced by finite $p$-jets. The regularized phase space is infinite-dimensional, because not all histories are determined by initial conditions. Gauge symmetries are not fully preserved by the regularization, and gauge anomalies arise. These anomalies are of a new type, not present in QFT. They generically diverge when the regulator is removed, but can be made finite with a particular choice of field content, provided that spacetime has at most four dimensions. The field content appears to include unphysical fields that violate the spin-statistics theorem.

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