Abstract
We show results for the universal anomalous dimension γuni(j) of Wilson twist-2 operators in the \( \mathcal{N} \) = 4 Supersymmetric Yang-Mills theory in the first three orders of perturbation theory. These expressions are obtained by extracting the most complicated contributions from the corresponding anomalous dimensions in QCD.
Similar content being viewed by others
References
V. N. Gribov and L. N. Lipatov, Sov. J. Nucl. Phys. 15, 438 (1972); Sov. J. Nucl. Phys. 15, 675 (1972); L. N. Lipatov, Sov. J. Nucl. Phys. 20, 94 (1975); G. Altarelli and G. Parisi, Nucl. Phys. B 126, 298 (1977); Yu. L. Dokshitzer, Sov. Phys. JETP 46, 641 (1977).
Bo Andersson et al., Eur. Phys. J. C 25, 77 (2002).
S. Moch et al., Nucl. Phys. B 688, 101 (2004); A. Vogt et al., Nucl. Phys. B 691, 129 (2004).
L. Brink et al., Nucl. Phys. B 121, 77 (1977); F. Gliozzi et al., Nucl. Phys. B 122, 253 (1977).
A. V. Kotikov and L. N. Lipatov, Nucl. Phys. B 661, 19 (2003); arXiv:hep-ph/0112346.
A. V. Kotikov et al., Phys. Lett. B 557, 114 (2003).
L. N. Lipatov, Sov. J. Nucl. Phys. 23, 338 (1976); V. S. Fadin et al., Phys. Lett. B 60, 50 (1975); E. A. Kuraev et al., Sov. Phys. JETP 44, 443 (1976); Sov. Phys. JETP 45, 199 (1977); I. I. Balitsky and L. N. Lipatov, Sov. J. Nucl. Phys. 28, 822 (1978); Sov. Phys. JETP 30, 355 (1979).
V. S. Fadin and L. N. Lipatov, Phys. Lett. B 429, 127 (1998); G. Camici and M. Ciafaloni, Phys. Lett. B 430, 349 (1998).
A. V. Kotikov and L. N. Lipatov, Nucl. Phys. B 582, 19 (2000).
A. V. Kotikov et al., Phys. Lett. B 595, 521 (2004).
L. N. Lipatov, in Proc. of the Intern. Workshop on Very High Multiplicity Physics (Dubna, 2000), pp. 159–176; Nucl. Phys. Proc. Suppl. A 99, 175 (2001).
W. Siegel, Phys. Lett. B 84, 193 (1979).
J. Fleischer et al., Nucl. Phys. B 547, 343 (1999); Acta Phys. Polon. B 29, 2611 (1998).
D. I. Kazakov and A. V. Kotikov, Nucl. Phys. B 307, 721 (1988); Nucl. Phys. B 345, 299 (1990); Phys. Lett. B 291, 171 (1992); A. V. Kotikov, Phys. At. Nucl. 57, 133 (1994); A. V. Kotikov and V. N. Velizhanin, arXiv:hep-ph/0501274.
M. Staudacher, J. High Energy Phys. 0505, 054 (2005); N. Beisert and M. Staudacher, Nucl. Phys. B 727, 1 (2005).
J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998); Int. J. Theor. Phys. 38, 1113 (1988); S. S. Gubser et al., Phys. Lett. B 428, 105 (1998); E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998).
A. V. Kotikov et al., J. Stat. Mech. 0710, 10003 (2007).
Z. Bajnok et al., Nucl. Phys. B 816, 376 (2009).
T. Lukowski et al., arXiv:0912.1624 [hep-th].
A. V. Kotikov et al., Nucl. Phys. B 813, 460 (2009); M. Beccaria et al., Nucl. Phys. B 827, 565 (2010).
Author information
Authors and Affiliations
Additional information
Talk at International Bogolyubov Conference “Problems of Theoretical and Mathematical Physics”, JINR, Dubna, August 21–27, 2009.
The article is published in the original.
Rights and permissions
About this article
Cite this article
Kotikov, A.V. The property of maximal transcendentality in the \( \mathcal{N} \) = 4 SYM. Phys. Part. Nuclei 41, 951–953 (2010). https://doi.org/10.1134/S1063779610060274
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063779610060274