Quantum integrability in (super) Yang-Mills theory on the light-cone

Details Quantum integrability in (super) Yang-Mills theory on the light-cone Quantum integrability in (super) Yang-Mills theory on the light-cone

2004-03-08

arxiv.org/abs/hep-th/0403085v4

Phys.Lett. B594 (2004) 385-401

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 1 figure; replaced with correct revised version

Scientific paper

10.1016/j.physletb.2004.04.092

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.

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