Baxter equation beyond wrapping
arXiv:0902.3198 · doi:10.1016/j.physletb.2009.05.004
Abstract
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.
10 pages
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Cited by in corpus (10)
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- Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
- Analytic solution of the multiloop Baxter equation
- Luescher formula for GKP string
- QCD properties of twist operators in the N=6 Chern-Simons theory
- Exceptional Operators in N=4 super Yang-Mills
- Scaling dimensions at small spin in N=4 SYM theory
- Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimension
- Riemann - terms in perturbative QED series, conformal symmetry and the analogies with structures of multiloop effects in N=4 supersymmetric Yang-Mills theory
- Reciprocity and integrability in the sl(2) sector of N=4 SYM