Quantum integrability in (super) Yang-Mills theory on the light-cone
Abstract
We employ the light-cone formalism to construct in the (super) Yang-Mills theories in the multi-color limit the one-loop dilatation operator acting on single trace products of chiral superfields separated by light-like distances. In the N=4 Yang-Mills theory it exhausts all Wilson operators of the maximal Lorentz spin while in nonsupersymmetric Yang-Mills theory it is restricted to the sector of maximal helicity gluonic operators. We show that the dilatation operator in all N-extended super Yang-Mills theories is given by the same integral operator which acts on the (N+1)-dimensional superspace and is invariant under the SL(2|N) superconformal transformations. We construct the R-matrix on this space and identify the dilatation operator as the Hamiltonian of the Heisenberg SL(2|N) spin chain.
Keywords
Cite
@article{arxiv.hep-th/0403085,
title = {Quantum integrability in (super) Yang-Mills theory on the light-cone},
author = {A. V. Belitsky and S. E. Derkachov and G. P. Korchemsky and A. N. Manashov},
journal= {arXiv preprint arXiv:hep-th/0403085},
year = {2010}
}
Comments
18 pages, 1 figure; replaced with correct revised version