Baxter equation beyond wrapping

Details Baxter equation beyond wrapping Baxter equation beyond wrapping

2009-02-18

arxiv.org/abs/0902.3198v2

Phys.Lett.B677:93-99,2009

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1016/j.physletb.2009.05.004

The Baxter-like functional equation encoding the spectrum of anomalous dimensions of Wilson operators in maximally supersymmetric Yang-Mills theory available to date ceases to work just before the onset of wrapping corrections. In this paper, we work out an improved finite-difference equation by incorporating nonpolynomial effects in the transfer matrix entering as its ingredient. This yields a self-consistent asymptotic finite-difference equation valid at any order of perturbation theory. Its exact solutions for fixed spins and twists at and beyond wrapping order give results coinciding with the ones obtained from the asymptotic Bethe Ansatz. Correcting the asymptotic energy eigenvalues by the Luescher term, we compute anomalous dimensions for a number of short operators beyond wrapping order.

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