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Positivity vs. Lorentz-violation: an explicit example

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arxiv 2107.01755 v2 pith:I4AHVYPX submitted 2021-07-05 hep-th gr-qc

Positivity vs. Lorentz-violation: an explicit example

Katsuki Aoki , Shinji Mukohyama , Ryo Namba This is my paper
classification hep-th gr-qc
keywords examplefieldpositivityappliedassumingbackgroundboundclass
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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    An infinite tower of two-sided positivity bounds constrains the EFT coefficients of heavy fields on de Sitter, ruling out correlators with no unitary/causal UV completion.