Positivity vs. Lorentz-violation: an explicit example

Abstract

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.

arXiv comment50 pages, 3 figures, 1 table, v2: improved explanations, new section VF added, references added, to appear in JCAP

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