Abstract
We demonstrate how a Lorentz-covariant formulation of the chiral -form model in containing infinitely many auxiliary fields is related to a Lorentz-covariant formulation with only one auxiliary scalar field entering a chiral -form action in a nonpolynomial way. The latter can be regarded as a consistent Lorentz-covariant truncation of the former. We make the Hamiltonian analysis of the model based on the nonpolynomial action and show that the Dirac constraints have a simple form and are all first class. In contrast with the Siegel model the constraints are not the square of second-class constraints. The canonical Hamiltonian is quadratic and determines the energy of a single chiral -form. In the case of chiral scalars the constraint can be improved by use of a “twisting” procedure (without the loss of the property to be first class) in such a way that the central charge of the quantum constraint algebra is zero. This points to the possible absence of an anomaly in an appropriate quantum version of the model.
- Received 14 November 1996
DOI:https://doi.org/10.1103/PhysRevD.55.6292
©1997 American Physical Society