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  Twist-three at five loops, Bethe Ansatz and wrapping

Beccaria, M., Forini, V., Lukowski, T., & Zieme, S. (2009). Twist-three at five loops, Bethe Ansatz and wrapping. Journal of High Energy Physics, 2009(3): 129. doi:10.1088/1126-6708/2009/03/129.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-45BE-E Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-45C0-6
Genre: Journal Article

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 Creators:
Beccaria, Matteo, Author
Forini, Valentina1, Author              
Lukowski, T., Author
Zieme, Stefan1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: We present a formula for the five-loop anomalous dimension of N=4 SYM twist-three operators in the sl(2) sector. We obtain its asymptotic part from the Bethe Ansatz and finite volume corrections from the generalized Luescher formalism, considering scattering processes of spin chain magnons with virtual particles that travel along the cylinder. The complete result respects the expected large spin scaling properties and passes non-trivial tests including reciprocity constraints. We analyze the pole structure and find agreement with a conjectured resummation formula. In analogy with the twist-two anomalous dimension at four-loops, wrapping effects are of order log^2 M/M^2 for large values of the spin.

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Language(s): eng - English
 Dates: 2009
 Publication Status: Published in print
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2009 (3) Sequence Number: 129 Start / End Page: - Identifier: -