Author:
Simmons-Duffin David,Stanford Douglas,Witten Edward
Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference44 articles.
1. G. Mack, Group theoretical approach to conformal invariant quantum field theory, in Renormalization and invariance in quantum field theory, E.R. Caianiello ed., NATO Adv. Stud. Inst. Ser. B 5, Springer, Boston, MA, U.S.A., (1974).
2. G. Mack, Osterwalder-Schrader positivity in conformal invariant quantum field theory, Lect. Notes Phys. 37 (1975) 66 [INSPIRE].
3. V.K. Dobrev, V.B. Petkova, S.G. Petrova and I.T. Todorov, Dynamical derivation of vacuum operator product expansion in Euclidean conformal quantum field theory, Phys. Rev. D 13 (1976) 887 [INSPIRE].
4. V.K. Dobrev, G. Mack, V.B. Petkova, S.G. Petrova and I.T. Todorov, Harmonic analysis on the N-dimensional Lorentz group and its application to conformal quantum field theory, Lect. Notes Phys. 63 (1977) 1 [INSPIRE].
5. M. Hogervorst and B.C. van Rees, Crossing symmetry in alpha space, JHEP 11 (2017) 193 [arXiv:1702.08471] [INSPIRE].
Cited by
160 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献