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.
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Simmons-Duffin, D., Stanford, D. & Witten, E. A spacetime derivation of the Lorentzian OPE inversion formula. J. High Energ. Phys. 2018, 85 (2018). https://doi.org/10.1007/JHEP07(2018)085
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DOI: https://doi.org/10.1007/JHEP07(2018)085