2021/08/30 by J. A. Gracey
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Conformal map #Conformal symmetry #Critical exponent #Exponent #Function (biology) #Geometry #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Order (exchange) #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Renormalization #Scaling #Symmetry (geometry) #Tensor (intrinsic definition) #cond-mat.str-el #hep-th
paper · pdf · doi:10.1103/physrevd.105.025004
61 latex pages, 15 figures, 9 tables, anc directory contains txt file with electronic version of renormalization constants and renormalization group functions
arxiv created 2021/08/30 · openalex publication_date 2022/01/06 · arxiv updated 2022/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We renormalize the Wess-Zumino model at five loops in both the minimal subtraction (MS) and momentum subtraction schemes. The calculation is carried out automatically using a routine that performs the D-algebra. Generalizations of the model to include O(N) symmetry as well as the case with real and complex tensor couplings are also considered. We confirm that the emergent SU(3) symmetry of six-dimensional O(N)\ensuremathφ3 theory is also a property of the tensor O(N) model. With the new loop order precision we compute critical exponents in the \ensuremathε expansion for several of these generalizations as well as the XYZ model in order to compare with conformal bootstrap estimates in three dimensions. For example at five loops our estimate for the correction to scaling exponent is in very good agreement for the Wess-Zumino model which equates to the emergent supersymmetric fixed point of the Gross-Neveu-Yukawa model. We also compute the rational number that is part of the six loop MS \ensuremathβ-function.