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String-induced gravity and ghost-freedom

Deser, S. and Redlich, A. N. (1986) String-induced gravity and ghost-freedom. Physics Letters B, 176 (3-4). pp. 350-354. ISSN 0370-2693. doi:10.1016/0370-2693(86)90177-2.

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The order α′k^4 four-point graviton amplitudes calculated from the bosonic, heterotic and supersymmetric strings are shown to be derivable from effective gravitational actions in which multiples of the Gauss-Bonnet quadratic curvature contribution are added to the Einstein action. However, it is also explicitly shown that on Einstein shell, the terms proportional to R_(μν)^2 and R^2 do not contribute to the amplitudes. This result implies that the effective graviton propagator is always non-ghost, a conclusion which remains valid for all higher orders. The calculations provide explicit diagrammatic verification of the field redefinition mechanism and of the fact that the exchange plus contact terms generated by the effective action yield the (expanded) string amplitudes.

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Deser, S.0000-0001-9285-9434
Additional Information:© 1986 Elsevier. Received 10 June 1986. Supported in part by NSF Grant PHY 82-01094. We thank C. Nunez for making her calculation of the four-point amplitude available to us. We have also benefitted from conversations with B. Zwiebach and one of us (S.D.) with C. Callan and D. Gross.
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Issue or Number:3-4
Record Number:CaltechAUTHORS:20161220-161054337
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Official Citation:S. Deser, A.N. Redlich, String-induced gravity and ghost-freedom, Physics Letters B, Volume 176, Issues 3–4, 28 August 1986, Pages 350-354, ISSN 0370-2693, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73027
Deposited By: George Porter
Deposited On:21 Dec 2016 17:35
Last Modified:11 Nov 2021 05:10

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