The S-matrix bootstrap. III: Higher dimensional amplitudes

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Publication:2303141

DOI10.1007/JHEP12(2019)040zbMATH Open1431.81162arXiv1708.06765OpenAlexW2995232955WikidataQ126585981 ScholiaQ126585981MaRDI QIDQ2303141

Author name not available (Why is that?)

Publication date: 2 March 2020

Published in: (Search for Journal in Brave)

Abstract: We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 3+1 dimensions due to crossing symmetry, analyticity and unitarity. We extremize cubic couplings, quartic couplings and scattering lengths relevant for the elastic scattering amplitude of two identical scalar particles. In the cases where our results can be compared with the older S-matrix literature they are in excellent agreement. We also extremize a cubic coupling in 2+1 dimensions which we can directly compare to a universal bound for a QFT in AdS. This paper generalizes our previous 1+1 dimensional results of arXiv:1607.06109 and arXiv:1607.06110.


Full work available at URL: https://arxiv.org/abs/1708.06765



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