Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-08-26
Nucl.Phys.B650:125-161,2003
Physics
High Energy Physics
High Energy Physics - Theory
44 pages, 10 figures; v2: minor changes, to appear in Nucl. Phys. B
Scientific paper
10.1016/S0550-3213(02)01025-8
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.
Beisert Niklas
Kristjansen Charlotte
Plefka Jan
Semenoff Gordon W.
Staudacher Matthias
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