2002/08/31 by N. Beisert, C. Kristjansen, J. Plefka +3 · 4 citations
Physics and Astronomy · #Assertion #Black Holes and Theoretical Physics #Conformal map #Dimension (graph theory) #Gauge (firearms) #Mixing (physics) #Operator (biology) #Operator product expansion #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Quantum Chromodynamics and Particle Interactions #Torus #hep-th
paper · pdf · doi:10.1016/s0550-3213(02)01025-8
published as Nucl.Phys.B650:125-161,2003 · 44 pages, 10 figures; v2: minor changes, to appear in Nucl. Phys. B
arxiv created 2002/12/17 · openalex publication_date 2002/12/30 · arxiv updated 2011/03/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Correlation functions in perturbative N=4 supersymmetric Yang-Mills theory are examined in the Berenstein-Maldacena-Nastase (BMN) limit. We demonstrate that non-extremal four-point functions of chiral primary fields are ill-defined in that limit. This lends support to the assertion that only gauge theoretic two-point functions should be compared to pp-wave strings. We further refine the analysis of the recently discovered non-planar corrections to the planar BMN limit. In particular, a full resolution to the genus one operator mixing problem is presented, leading to modifications in the map between BMN operators and string states. We give a perturbative construction of the correct operators and we identify their anomalous dimensions. We also distinguish symmetric, antisymmetric and singlet operators and find, interestingly, the same torus anomalous dimension for all three. Finally, it is discussed how operator mixing effects modify three point functions at the classical level and, at one loop, allow us to recover conformal invariance.