2019/10/31 by Adam Bzowski, Paul McFadden, Kostas Skenderis · 2 citations
Physics and Astronomy · #hep-th #cond-mat.stat-mech #cond-mat.str-el #hep-ph
paper · pdf · doi:10.1103/physrevlett.124.131602
published as Phys. Rev. Lett. 124, 131602 (2020) · 8 pp, 4 figs; v3: published version
arxiv created 2020/04/03 · arxiv updated 2020/04/07
We present a Feynman integral representation for the general momentum-space scalar n-point function in any conformal field theory. This representation solves the conformal Ward identities and features an arbitrary function of n(n-3)/2 variables which play the role of momentum-space conformal cross-ratios. It involves (n-1)(n-2)/2 integrations over momenta, with the momenta running over the edges of an (n-1)-simplex. We provide the details in the simplest non-trivial case (4-point functions), and for this case we identify values of the operator and spacetime dimensions for which singularities arise leading to anomalies and beta functions, and discuss several illustrative examples from perturbative quantum field theory and holography.