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タイトル: | Extension of positivity bounds to non-local theories: IR obstructions to Lorentz invariant UV completions |
著者: | Tokuda, Junsei |
著者名の別形: | 徳田, 順生 |
発行日: | 1-May-2019 |
出版者: | Springer Verlag |
誌名: | Journal of High Energy Physics |
巻: | 2019 |
論文番号: | 216 |
抄録: | 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-Källén 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. |
著作権等: | This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. |
URI: | http://hdl.handle.net/2433/245130 |
DOI(出版社版): | 10.1007/JHEP05(2019)216 |
出現コレクション: | 学術雑誌掲載論文等 |
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