Wrapping Interactions and the Konishi Operator

Details Wrapping Interactions and the Konishi Operator Wrapping Interactions and the Konishi Operator

2008-01-10

arxiv.org/abs/0801.1661v1

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 14 figures

Scientific paper

We present a calculation of the four-loop anomalous dimension of the SU(2) sector Konishi operator in N=4 SYM, as an example of "wrapping" corrections to the known result for long operators. We use the known dilatation operator at four loops acting on long operator, and just calculate those diagrams which are affected by the change from operator length L > 4 to L = 4. We find that the answer involves a Zeta[5], so it has trancendentality degree five. Our result differs from previous proposals and calculations. We also discuss some ideas for extending this analysis to determine finite size corrections for operators of arbitrary length in the SU(2) sector.

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