QJT as a Regularization: Origin of the New Gauge Anomalies

Abstract

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.

30 pages

References in corpus (3)

• Multi-dimensional Virasoro algebra and quantum gravity
• The physical observer II: Gauge and diff anomalies
• The physical observer I: Absolute and relative fields

Cited by in corpus (1)

• Quantum Jet Theory, Observer Dependence, and Multi-dimensional Virasoro algebra