The Epsilon-Expansion from Conformal Field Theory

Abstract

Conformal multiplets of $\varphi$ and ${\varphi }^3$ 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

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Cited by in corpus (4)

• $\epsilon$-Expansion in Critical ${\varphi }^3$-Theory on Real Projective Space from Conformal Field Theory
• Holomorphic primary fields in free CFT4 and Calabi-Yau orbifolds
• Relating diagrammatic expansion with conformal correlator expansion
• Aspects of Higher Spin Theories, Conformal Field Theories and Holography