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Perturbative quantum gravity in double field theory

2015/12/10 by Rutger H. Boels, Christoph Horst · 2 citations
Physics and Astronomy · #Background field method #Black Holes and Theoretical Physics #Covariant transformation #Dilaton #Feynman diagram #Gauge fixing #Gauge theory #General relativity #Graviton #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Quantum field theory #Quantum gravity #gr-qc #hep-th

paper · pdf · doi:10.1007/jhep04(2016)120

published in Journal of High Energy Physics 2016(4), 1-38 (Springer Nature) · 39 pages

arxiv created 2015/12/10 · openalex publication_date 2016/04/01 · arxiv updated 2016/05/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study perturbative general relativity with a two-form and a dilaton using the double field theory formulation which features explicit index factorisation at the Lagrangian level. Explicit checks to known tree level results are performed. In a natural covariant gauge a ghost-like scalar which contributes even at tree level is shown to decouple consistently as required by perturbative unitarity. In addition, a lightcone gauge is explored which bypasses the problem altogether. Using this gauge to study BCFW on-shell recursion, we can show that most of the D-dimensional tree level S-matrix of the theory, including all pure graviton scattering amplitudes, is reproduced by the double field theory. More generally, we argue that the integrand may be reconstructed from its single cuts and provide limited evidence for off-shell cancellations in the Feynman graphs. As a straightforward application of the developed technology double field theory-like expressions for four field string corrections are derived.

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