# A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills

@article{Beisert2004ANL, title={A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills}, author={Niklas Beisert and V. Dippel and Matthias Staudacher}, journal={Journal of High Energy Physics}, year={2004}, volume={2004}, pages={075-075} }

We probe the long-range spin chain approach to planar N = 4 gauge theory at high loop order. A recently employed hyperbolic spin chain invented by Inozemtsev is suitable for the su(2) subsector of the state space up to three loops, but ceases to exhibit the conjectured thermodynamic scaling properties at higher orders. We indicate how this may be bypassed while nevertheless preserving integrability, and suggest the corresponding all-loop asymptotic Bethe ansatz. We also propose the local part…

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## References

SHOWING 1-10 OF 66 REFERENCES

### Planar N=4 Gauge Theory and the Inozemtsev Long Range Spin Chain

- Physics
- 2004

We investigate whether the (planar, two complex scalar) dilatation operator of N = 4 gauge theory can be, perturbatively and, perhaps, non-perturbatively, described by an integrable long range spin…

### The su ( 2 | 3 ) Dynamic Spin Chain

- Physics
- 2003

The complete one-loop, planar dilatation operator of the N = 4 supercon-formal gauge theory was recently derived and shown to be integrable. Here, we present further compelling evidence for a…

### Large spin limit of AdS5×S5 string theory and low energy expansion of ferromagnetic spin chains

- Physics
- 2004

### The Bethe-ansatz for N = 4 super Yang-Mills

- Mathematics, Physics
- 2002

We derive the one loop mixing matrix for anomalous dimensions in N=4 Super Yang-Mills. We show that this matrix can be identified with the Hamiltonian of an integrable SO(6) spin chain with vector…