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The Epsilon-Expansion from Conformal Field Theory

arXiv:1505.00963

Abstract

Conformal multiplets of $ϕ$ and $ϕ^3$ 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.

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