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This article is cited in 1 scientific paper (total in 1 paper)
Eden–Staudacher and Beisert–Eden–Staudacher equations
in the $\mathcal N=4$ supersymmetric gauge theory
A. V. Kotikova, L. N. Lipatovbc a Joint Institute for Nuclear Research
b B. P. Konstantinov Petersburg Nuclear Physics Institute, Russian Academy of Sciences
c The University of Hamburg
Abstract:
We investigate the Eden–Staudacher and Beisert–Eden–Staudacher equations
for the anomalous dimension of twist-$2$ operators at a large spin $s$ in
the $\mathcal{N}{=}4$ supersymmetric gauge theory. We reduce these equations to
a set of linear algebraic equations and calculate their kernels analytically.
We demonstrate that in the perturbation theory, the anomalous dimension is
a sum of products of the Euler functions $\zeta(k)$ having the maximum
transcendentality property. We also show that at a large coupling,
the "singular" solution of the Beisert–Eden–Staudacher equation reproduces
the anomalous dimension constants predicted from the string side of the AdS/CFT
correspondence.
Keywords:
anomalous dimension, $\mathcal{N}{=}4$ supersymmetric gauge theory.
Citation:
A. V. Kotikov, L. N. Lipatov, “Eden–Staudacher and Beisert–Eden–Staudacher equations
in the $\mathcal N=4$ supersymmetric gauge theory”, TMF, 155:1 (2008), 117–129; Theoret. and Math. Phys., 155:1 (2008), 606–617
Linking options:
https://www.mathnet.ru/eng/tmf6197https://doi.org/10.4213/tmf6197 https://www.mathnet.ru/eng/tmf/v155/i1/p117
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Abstract page: | 393 | Full-text PDF : | 218 | References: | 54 | First page: | 3 |
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