Phys. Rev. 134, B1155–B1182 (1964)Gravitational Field: Equivalence of Feynman Quantization and Canonical QuantizationReceived 17 January 1964; published in the issue dated June 1964 The transition amplitude for the gravitational field as given by the Feynman sum over histories expression is analyzed in analogy to the electromagnetic transition amplitude. The analysis is based on an explicit representation of the Feynman sum by means of a lattice. The measure is found by consistency requirements and differs from those proposed by other workers. Particular attention is paid to the subsidiary conditions associated with the gauge group. It is shown, that the present approach is equivalent to the quantization by means of canonical variables as proposed by Dirac. © 1964 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRev.134.B1155
DOI:
10.1103/PhysRev.134.B1155
PACS:
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.