Five-loop anomalous dimension of twist-two operators
In this article we calculate the five-loop anomalous dimension of twist-two operators in the planar N = 4 SYM theory. Firstly, using reciprocity, we derive the contribution of the asymptotic Bethe ansatz. Subsequently, we employ the first finite-size correction for the AdS 5 × S 5 sigma model to det...
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| Published in: | Nuclear physics. B Vol. 831; no. 1; pp. 105 - 132 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier B.V
21-05-2010
|
| Online Access: | Get full text |
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| Summary: | In this article we calculate the five-loop anomalous dimension of twist-two operators in the planar
N
=
4
SYM theory. Firstly, using reciprocity, we derive the contribution of the asymptotic Bethe ansatz. Subsequently, we employ the first finite-size correction for the
AdS
5
×
S
5
sigma model to determine the wrapping correction. The anomalous dimension found in this way passes all known tests provided by the NLO BFKL equation and double-logarithmic constraints. This result thus furnishes an
infinite number of experimental data for testing the veracity of the recently proposed spectral equations for planar AdS/CFT correspondence. |
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| ISSN: | 0550-3213 1873-1562 |
| DOI: | 10.1016/j.nuclphysb.2010.01.008 |