Commutators on Characteristic Surfaces

Arthur Komar
Phys. Rev. 134, B1430 – Published 22 June 1964
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Abstract

The Lagrangian formalism is employed to derive the commutation relations on null surfaces for relativistic field theories. The theories treated are the Klein-Gordon field, the Maxwell field, the linearized gravitation theory, and the general theory of relativity. Special attention is paid to the treatment of null surfaces at infinity, on which we are able to obtain the commutation relations for the "news function," which represents the independent radiation modes of the field. For the general theory of relativity, the methods of this paper seem appropriate only when we truncate the theory by excluding solutions which are not asymptotically flat in the sense of Penrose.

  • Received 3 February 1964

DOI:https://doi.org/10.1103/PhysRev.134.B1430

©1964 American Physical Society

Authors & Affiliations

Arthur Komar

  • Belfer Graduate School of Science, Yeshiva University, New York, New York

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Issue

Vol. 134, Iss. 6B — June 1964

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