English

The Epsilon-Expansion from Conformal Field Theory

High Energy Physics - Theory 2015-06-25 v3 Statistical Mechanics

Abstract

Conformal multiplets of ϕ\phi and ϕ3\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.

Keywords

Cite

@article{arxiv.1505.00963,
  title  = {The Epsilon-Expansion from Conformal Field Theory},
  author = {Slava Rychkov and Zhong Ming Tan},
  journal= {arXiv preprint arXiv:1505.00963},
  year   = {2015}
}

Comments

24 pages; v2 - references added, minor changes; v3 - refs and comments added, misprints corrected, version to appear in J.Phys.A