4.6 Article

Positivity vs. Lorentz-violation: an explicit example

Journal

Publisher

IOP Publishing Ltd
DOI: 10.1088/1475-7516/2021/10/079

Keywords

cosmological perturbation theory; gravity; modified gravity

Funding

  1. Japan Society for the Promotion of Science [19J00895, 20K14468, 17H02890, 17H06359]
  2. World Premier International Research Center Initiative, MEXT, Japan
  3. Grants-in-Aid for Scientific Research [20K14468, 19J00895] Funding Source: KAKEN

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In a Lorentz-breaking background, a class of multi-field scalar-field theories imposes consistency conditions on its effective theory of a single field, demonstrating an example of order-unity violation of a naively applied positivity bound when a large hierarchy exists between the masses of the lightest field and the others.
We show how a class of multi-field scalar-field theories in a Lorentz-breaking background imposes consistency conditions on its effective theory of a single field and provides an example of order-unity violation of a naively applied positivity bound, assuming a large hierarchy between the masses of the lightest field and the others.

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