Abstract
We present a Feynman integral representation for the general momentum-space scalar -point function in any conformal field theory. This representation solves the conformal Ward identities and features an arbitrary function of variables which play the role of momentum-space conformal cross ratios. It involves integrations over momenta, with the momenta running over the edges of an () simplex. We provide the details in the simplest nontrivial 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.
- Received 20 November 2019
- Accepted 5 March 2020
DOI:https://doi.org/10.1103/PhysRevLett.124.131602
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society