Two-point functions of chiral operators in Script N = 4 SYM at order g4

1999/10/25 by Silvia Penati, S. Penati, A. Santambrogio +2 · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/1126-6708/1999/12/006

published as JHEP 9912:006,1999 · 18 pages, 6 figures

arxiv created 1999/10/25 · openalex publication_date 1999/12/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

We compute two-point functions of chiral operators Tr Φ³ in \cal N=4 SU(N) supersymmetric Yang-Mills theory to the order g⁴ in perturbation theory. We perform explicit calculations using \cal N=1 superspace techniques and find that perturbative corrections to the correlators vanish for all N. While at order g² the cancellations can be ascribed to the nonrenormalization theorem valid for correlators of operators in the same multiplet as the stress tensor, at order g⁴ this argument no longer applies and the actual cancellation occurs in a highly nontrivial way. Our result is obtained in complete generality, without the need of additional conjectures or assumptions. It gives further support to the belief that such correlators are not renormalized to all orders in g and to all orders in N.

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• Exact anomalous dimensions of N=4 Yang–Mills operators with large R charge
• The dilatation operator of N=4 super Yang–Mills theory and integrability
• Two-point correlators in theβ-deformed Script N = 4 SYM at the next-to-leading order
• Comments on the β-deformed Script N = 4 SYM theory