English

Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory

High Energy Physics - Theory 2015-06-09 v2 High Energy Physics - Phenomenology

Abstract

We compute the general form of the six-loop anomalous dimension of twist-two operators with arbitrary spin in planar N=4 SYM theory. First we find the contribution from the asymptotic Bethe ansatz. Then we reconstruct the wrapping terms from the first 35 even spin values of the full six-loop anomalous dimension computed using the quantum spectral curve approach. The obtained anomalous dimension satisfies all known constraints coming from the BFKL equation, the generalised double-logarithmic equation, and the small spin expansion.

Keywords

Cite

@article{arxiv.1412.4762,
  title  = {Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory},
  author = {Christian Marboe and Vitaly Velizhanin and Dmytro Volin},
  journal= {arXiv preprint arXiv:1412.4762},
  year   = {2015}
}

Comments

33 pages, 4 ancillary files, minor changes