Indefinite-Metric Quantum Field Theory of General Relativity. IV: Background Curved Space-Time | Zendy

N. Nakanishi | Zendy

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Indefinite-Metric Quantum Field Theory of General Relativity. IV: Background Curved Space-Time

Author(s) -

N. Nakanishi

Publication year - 1979

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.61.1536

Subject(s) - physics , general relativity , quantum gravity , curved space , covariant transformation , quantum field theory , gravitational field , gravitation , theoretical physics , quantum field theory in curved spacetime , mathematical physics , spacetime , asymptotic safety in quantum gravity , field (mathematics) , classical mechanics , metric (unit) , space (punctuation) , theory of relativity , space time , linearized gravity , quantum , quantum mechanics , pure mathematics , economics , operations management , mathematics , chemical engineering , engineering , linguistics , philosophy

The sixteen-dimensional supcrspace structure of the manifestly-covariant can onical formalism of quantum gravity is investigated in detail. The fielcl equations and t he equaltime (anti-) commutation relations are shown to be expressible in the sixteen-dimensi onal form. The sixteen-dimensional Poincare-like superalgebra found previously is rcderived in a unified way. It is shown that this superalgebra is simulated by a system of an iclealize d angular supermomentum and an idealized supermomentum, where the former is express ed as an antisymmetric product of the latter and an idealized position supervector.

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