1. Self-dual 3-forms: Gauge unfixing approach.
- Author
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Sararu, S. C.
- Subjects
- *
DUALITY theory (Mathematics) , *MATHEMATICAL forms , *GAUGE field theory , *GEOMETRIC quantization , *PATH integrals , *HAMILTONIAN systems , *LAGRANGE equations - Abstract
The problem of quantization of self-duals 3-forms is considered in the framework of the gauge unfixing approach based on path integral. Starting from the original second-class theory, self-dual 3-forms, we construct a first-class theory. With first-class theory at hand, we build the corresponding Hamiltonian path integral. The Hamiltonian path integral of the first-class system takes a manifestly Lorentz-covariant form after integrating out the auxiliary fields and performing some field redefinitions. For different kinds of phase-space extensions we identify the Lagrangian path integral for 2-and 3-forms with Stu¨ckelberg-like coupling or the Lagrangian path integral for two kinds of 3-forms with topological-like coupling. [ABSTRACT FROM AUTHOR]
- Published
- 2012
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