arXiv subjects

Vitaly Velizhanin

Publications and source records attributed to Vitaly Velizhanin.

2 recordsLinked to original sources

arXiv2016

Twist-2 at seven loops in planar N=4 SYM theory: Full result and analytic properties

The anomalous dimension of twist-2 operators of arbitrary spin in planar N=4 SYM theory is found at seven loops by using the quantum spectral curve to compute values at fixed spin, and reconstructing the general result using the LLL-algorithm together with modular arithmetic. The result of the analytic continuation to negative spin is presented, and its relation with the recently computed correction to the BFKL and double-logarithmic equation is discussed.

hep-th↗

arXiv2015

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

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.

hep-th↗