Subsidiary conditions and physical S-matrix unitary in covariant canonical formulation of supergravity

Details Subsidiary conditions and physical S-matrix unitary in covariant canonical formulation of supergravity Subsidiary conditions and physical S-matrix unitary in covariant canonical formulation of supergravity

Oct 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979nuphb.158..357h&link_type=abstract

Nuclear Physics B, Volume 158, Issue 2-3, p. 357-380.

Physics

Nuclear Physics

16

Scientific paper

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 QBphys>=0 with the help of the BRS charge QB, it is found necessary to adopt an unconventional form of spinor-FP-ghost Lagrangian ic¯*∂/Dc slightly different from the usual one c¯*Dc. 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.

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