2017/05/31 by Alessandro Codello, A. Codello, M. Safari +5 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Computation #Ising model #Operator (biology) #Operator product expansion #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Quantum Chromodynamics and Particle Interactions #Renormalization #Renormalization group #Universality (dynamical systems) #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1140/epjc/s10052-017-5505-2
published as Eur. Phys. J. C78, 30 (2018) · 39 pages, 3 figures; v3: matches published version
openalex publication_date 2018/01/01 · arxiv created 2018/01/17 · arxiv updated 2018/01/18 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
We show how the use of standard perturbative RG in dimensional regularization allows for a renormalization group-based computation of both the spectrum and a family of coefficients of the operator product expansion (OPE) for a given universality class. The task is greatly simplified by a straightforward generalization of perturbation theory to a functional perturbative RG approach. We illustrate our procedure in the ε -expansion by obtaining the next-to-leading corrections for the spectrum and the leading corrections for the OPE coefficients of Ising and Lee-Yang universality classes and then give several results for the whole family of renormalizable multi-critical models φ 2n . Whenever comparison is possible our RG results explicitly match the ones recently derived in CFT frameworks.