Conformal correlators in the critical O(N) vector model

2021/03/18 by Noam Chai, Chai, Noam, Mikhail Goykhman +3
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Conformal symmetry #Critical point (mathematics) #FOS: Physical sciences #Function (biology) #Geometry #High Energy Physics - Theory (hep-th) #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Operator product expansion #Physics #Primary field #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Strongly Correlated Electrons (cond-mat.str-el) #Symmetry (geometry) #Wave vector #cond-mat.str-el #hep-th

paper · pdf · doi:10.48550/arxiv.2103.10168

43 pages

arxiv created 2021/03/18 · openalex publication_date 2021/03/18 · arxiv updated 2021/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We calculate a set of conformal correlators in the critical O(N) vector model in 2

Citations

• On Calculation of 1/n Expansions of Critical Exponents in the Gross-Neveu Model with the Conformal Technique
• The Gegenbauer Polynomial Technique: the evaluation of complicated Feynman integrals
• Integration by parts: The algorithm to calculate β-functions in 4 loops
• Critical Exponents in 3.99 Dimensions
• Evaluating the AdS dual of the criticalO(N) vector model

Related

• The conformal N-point scalar correlator in coordinate space
• Conformality of non-conformal correlators
• Conformal 3-point correlators in momentum space, method of subgraphs and the 1/N expansion
• The critical O(N) CFT: Methods and conformal data
• Conformal invariance constraints in the O(N) models: a first study within the nonperturbative renormalization group