The SU(2) Long Range Bethe Ansatz and Continuous Integrable Systems

Details The SU(2) Long Range Bethe Ansatz and Continuous Integrable Systems The SU(2) Long Range Bethe Ansatz and Continuous Integrable Systems

2006-05-02

arxiv.org/abs/hep-th/0605028v2

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, v2: references added

Scientific paper

We explore the relationship between the SU(2) sector of a general integrable field theory and the all-loop guess for the anomalous dimensions of SU(2) operators in N=4 super Yang-Mills theory. We demonstrate that the SU(2) structure of a nested Bethe ansatz alone reproduces much of the all-loop guess without depending on the details of the particular field theory. We speculate on the implications of this for strings in AdS_5 X S^5 being described by the multi-particle states of an integrable worldsheet theory, and relate the techniques here to the known relationship between the Hubbard model and the all-loop guess.

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