Exact anomalous dimensions of N=4 Yang–Mills operators with large R charge

2002/06/25 by Alberto Santambrogio, D. Zanon, Daniela Zanon · 10 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:10.1016/s0370-2693(02)02627-8

published as Phys.Lett. B545 (2002) 425-429 · 6 pages, LaTex; v2: minor changes

arxiv created 2002/06/25 · openalex publication_date 2002/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In a \cal N=1 superspace formulation of \cal N=4 Yang-Mills theory we obtain the anomalous dimensions of chiral operators with large R charge J → ∞ keeping g² N/J² finite, to all orders of perturbation theory in the planar limit. Our result proves the conjecture that the anomalous dimensions are indeed finite in the above limit. This amounts to an exact check of the proposed duality between a sector of \cal N=4 Yang-Mills theory with large R charge J and string theory in a pp-wave background.

Citations

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

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