Republication of: Quantum theory of weak gravitational fields


This is an English translation of a paper by Matvei Bronstein, first published in German in 1936 in a long-extinct Soviet journal, in which he presented the first attempt at quantizing a weak (linearized) gravitational field, rather modern in its approach. The paper has been selected by the Editors of General Relativity and Gravitation for re-publication in the Golden Oldies series of the journal. This republication is accompanied by an editorial note written by Stanley Deser and Alexei Starobinsky, and Bronstein’s brief biography written by Stanley Deser.

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Correspondence to Matvei Bronstein.

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An editorial note to this paper and a biography can be found in this issue preceding this Golden Oldie and online via doi:10.1007/s10714-011-1284-5.

Original paper: Matvei Bronstein, Quantentheorie schwacher Gravitationsfelder, Physikalische Zeitschrift der Sowjetunion, Band 9, Heft 2–3, pp. 140–157 (1936). Translated from German by M.A. Kurkov, edited by S. Deser.

Matvei Bronstein murdered in February 1938 in Stalin’s purges.

Editorial responsiblility: A. Krasiński, e-mail:

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Bronstein, M. Republication of: Quantum theory of weak gravitational fields. Gen Relativ Gravit 44, 267–283 (2012).

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  • Quantum Theory
  • Commutation Relation
  • Gravitational Wave
  • Test Body
  • Weak Gravitational Field