4.6 Article

The ε-expansion from conformal field theory

Journal

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/48/29/29FT01

Keywords

conformal field theory; Wilson-Fisher fixed point; epsilon-expansion

Funding

  1. National Centre of Competence in Research SwissMAP - Swiss National Science Foundation
  2. Ecole normale superieure in Paris, France [LabEx ENS-ICFP: ANR-10-LABX-0010/ANR-10-IDEX-0001-02 PSL]
  3. Public Service Commission, Singapore

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Conformal multiplets of phi and phi(3) recombine at the Wilson-Fisher fixed point, as a consequence of the equations of motion. Using this fact and other constraints from conformal symmetry, we reproduce the lowest nontrivial order results for the anomalous dimensions of operators, without any input from perturbation theory.

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