Extension of positivity bounds to non-local theories: IR obstructions to Lorentz invariant UV completions
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Publication:2315800
DOI10.1007/JHEP05(2019)216zbMATH Open1416.81105arXiv1902.10039WikidataQ127734245 ScholiaQ127734245MaRDI QIDQ2315800
Author name not available (Why is that?)
Publication date: 25 July 2019
Published in: (Search for Journal in Brave)
Abstract: We derive positivity bounds on low energy effective field theories which admit gapped, analytic, unitary, Lorentz invariant, and possibly non-local UV completions, by considering 2 to 2 scatterings of Jaffe fields whose Lehmann-K"{a}ll'{e}n spectral density can grow exponentially. Several properties of S-matrix, such as analyticity properties, are assumed in our derivation. Interestingly, we find that some of the positivity bounds obtained in the literature, such as sub-leading order forward-limit bounds, must be satisfied even when UV completions fall into non-localizable theories in Jaffe's language, unless momentum space Wightman functions grow too rapidly at high energy. Under this restriction on the growth rate, such bounds may provide IR obstructions to analytic, unitary, and Lorentz invariant UV completions.
Full work available at URL: https://arxiv.org/abs/1902.10039
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