2017/11/30 by Parijat Dey, Apratim Kaviraj · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Dimension (graph theory) #Feynman diagram #Mellin transform #Operator (biology) #Operator product expansion #Order (exchange) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Space (punctuation) #Spin (aerodynamics) #cond-mat.str-el #hep-th
paper · pdf · doi:10.1007/jhep02(2018)153
25 pages, typos corrected, reference added
openalex created_date 2017/11/10 · arxiv created 2017/12/17 · openalex publication_date 2018/02/01 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/05
We employ a hybrid approach in determining the anomalous dimension and OPE coefficient of higher spin operators in the Wilson-Fisher theory. First we do a large spin analysis for CFT data where we use results obtained from the usual and the Mellin bootstrap and also from Feynman diagram literature. This gives new predictions at O(ϵ4) and O(ϵ5) for anomalous dimensions and OPE coefficients, and also provides a cross-check for the results from Mellin bootstrap. These higher orders get contributions from all higher spin operators in the crossed channel. We also use the bootstrap in Mellin space method for ϕ3 in d = 6 − ϵ CFT where we calculate general higher spin OPE data. We demonstrate a higher loop order calculation in this approach by summing over contributions from higher spin operators of the crossed channel in the same spirit as before.