The Quantum Bianchi Identities and Field Equations for General Relativity,

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Abstract:

By invoking the physical symmetry of coordinate invariance for the matter-free gravitational field, the contracted quantum Bianchi identities are derived from a family of Hermitian Lagrangians which are the quantum analogues of the Palatini Lagrangian. It is further shown that these gauge variational techniques yield a set of necessary conditions that determine whether the quantum field equations and contracted Bianchi identities contain purely quantum structures of order Plancks constant2pi squared which possess no quantum analogues. Author

Author(s):
Russo, M.
Author Organization(s):
NORTHEASTERN UNIV BOSTON MASS DEPT OF PHYSICS
Pagination:
0029

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
NUB-2042
Contract/Grant Number(s):
F33615-69-C-1207
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*RELATIVITY THEORY, QUANTUM THEORY), FIELD THEORY, INVARIANCE, GROUPS(MATHEMATICS), TRANSFORMATIONS(MATHEMATICS), PARTIAL DIFFERENTIAL EQUATIONS, INTEGRALS
Field(s)/Group(s):
Quantum Theory and Relativity
Keyword(s):
*BIANCHI IDENTITIES, *GENERAL RELATIVITY, GRAVITATIONAL FIELDS, LAGRANGIAN FUNCTIONS
Report Date:
1970 Dec 01