Lorentz-invariant actions for chiral p-forms
- Universita Degli Studi Di Padova, Dipartimento Di Fisica Galileo Galilei ed INFN, Sezione Di Padova, Via F. Marzolo, 8, 35131 Padova (Italy)
We demonstrate how a Lorentz-covariant formulation of the chiral p-form model in D=2(p+1) containing infinitely many auxiliary fields is related to a Lorentz-covariant formulation with only one auxiliary scalar field entering a chiral p-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 p-form. In the case of D=2 chiral scalars the constraint can be improved by use of a {open_quotes}twisting{close_quotes} 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. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 544362
- Journal Information:
- Physical Review, D, Vol. 55, Issue 10; Other Information: PBD: May 1997
- Country of Publication:
- United States
- Language:
- English
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