Subsidiary Conditions and Physical S Matrix Unitarity in Covariant Canonical Formulation of Supergravity
May, 197924 pages
Published in:
- Nucl.Phys.B 158 (1979) 357-380
- Published: 1979
Report number:
- KUNS 490
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Abstract: (Elsevier)
A canonical operator formalism of supergravity in covariant gauges is presented in the framework of indefinite-metric quantum field theory. In order to specify the invariant physical subspace by a simple subsidiary condition Q B |phys〉=0 with the help of the BRS charge Q B , it is found necessary to adopt an unconventional form of spinor-FP-ghost Lagrangian i c ̄ ∗ ∂/ D ̷ c slightly different from the usual one c ̄ ∗ D ̷ c . By clarifying the metric structure of the total Fock space spanned by the asymptotic fields, the physical S -matrix unitarity for arbitrary gauge parameters is proved. This unitarity proof is also made simpler by the present choice of FP-ghost Lagrangian. The relationship between the present FP-ghost Lagrangian and the conventional one is also made clear.- FIELD THEORY: SUPERSYMMETRY
- GRAVITATION: SUPERSYMMETRY
- INVARIANCE: LORENTZ
- S-MATRIX: UNITARITY
- TRANSFORMATION: BECCHI-ROUET-STORA
- FIELD THEORY: COMMUTATION RELATIONS
- FIELD EQUATIONS
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