A spacetime derivation of the Lorentzian OPE inversion formula
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Publication:2413709
DOI10.1007/JHEP07(2018)085zbMATH Open1395.81246arXiv1711.03816OpenAlexW3102461564WikidataQ129533570 ScholiaQ129533570MaRDI QIDQ2413709
Author name not available (Why is that?)
Publication date: 14 September 2018
Published in: (Search for Journal in Brave)
Abstract: Caron-Huot has recently given an interesting formula that determines OPE data in a conformal field theory in terms of a weighted integral of the four-point function over a Lorentzian region of cross-ratio space. We give a new derivation of this formula based on Wick rotation in spacetime rather than cross-ratio space. The derivation is simple in two dimensions but more involved in higher dimensions. We also derive a Lorentzian inversion formula in one dimension that sheds light on previous observations about the chaos regime in the SYK model.
Full work available at URL: https://arxiv.org/abs/1711.03816
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