2015/01/31 by Michele Caselle, M. Caselle, G. Costagliola +3 · 25 citations
Chemistry · Mathematics · Physics and Astronomy · #Applied mathematics #Chemistry #Geometry #Ising model #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Operator product expansion #Physics #Product (mathematics) #Quantum Chromodynamics and Particle Interactions #Quantum many-body systems #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat #hep-th
paper · pdf · doi:10.1103/physrevd.91.061901
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 91(6) (American Physical Society) · 4 pages, typos corrected, a few references added
arxiv created 2015/03/02 · openalex publication_date 2015/03/16 · arxiv updated 2015/03/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We propose a general method for the numerical evaluation of operator product expansion coefficients in three dimensional conformal field theories based on the study of the conformal perturbation of two point functions in the vicinity of the critical point. We test our proposal in the three dimensional Ising model, looking at the magnetic perturbation of the ⟨\ensuremathσ(r)\ensuremathσ(0)⟩, ⟨\ensuremathσ(r)\ensuremathε(0)⟩ and ⟨\ensuremathε(r)\ensuremathε(0)⟩ correlators from which we extract the values of C_\ensuremathσ\ensuremathε^\ensuremathσ=1.07(3) and C_\ensuremathε\ensuremathε^\ensuremathε=1.45(30). Our estimate for C_\ensuremathσ\ensuremathε^\ensuremathσ agrees with those recently obtained using conformal bootstrap methods, while C_\ensuremathε\ensuremathε^\ensuremathε, as far as we know, is new and could be used to further constrain conformal bootstrap analyses of the 3d Ising universality class.