4.8 Article

Positivity of Curvature-Squared Corrections in Gravity

Journal

PHYSICAL REVIEW LETTERS
Volume 118, Issue 5, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.118.051601

Keywords

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Funding

  1. Sloan Research Fellowship
  2. DOE [DE-SC0010255]
  3. Hertz Graduate Fellowship
  4. NSF [DGE-1144469]
  5. U.S. Department of Energy (DOE) [DE-SC0010255] Funding Source: U.S. Department of Energy (DOE)

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We study the Gauss-Bonnet (GB) term as the leading higher-curvature correction to pure Einstein gravity. Assuming a tree-level ultraviolet completion free of ghosts or tachyons, we prove that the GB term has a nonnegative coefficient in dimensions greater than 4. Our result follows from unitarity of the spectral representation for a general ultraviolet completion of the GB term.

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