Perturbative Four-Point Functions from the Analytic Conformal Bootstrap

Johan Henriksson, Tomasz Lukowski

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)
34 Downloads (Pure)


We apply the analytic conformal bootstrap method to study weakly coupled conformal gauge theories in four dimensions. We employ twist conformal blocks to find the most general form of the one-loop four-point correlation function of identical scalar operators, without any reference to Feynman calculations. The method relies only on symmetries of the model. In particular, it does not require introducing any regularisation and it is free from the redundancies usually associated with the Feynman approach. By supplementing the general solution with known data for a small number of operators, we recover explicit forms of one-loop correlation functions of four Konishi operators as well as of four half-BPS operators O20′ in N = 4 super Yang-Mills.

Original languageEnglish
Article number123
JournalJournal of High Energy Physics (JHEP)
Publication statusPublished - 20 Feb 2018


  • Conformal and W Symmetry
  • Conformal Field Theory


Dive into the research topics of 'Perturbative Four-Point Functions from the Analytic Conformal Bootstrap'. Together they form a unique fingerprint.

Cite this