Niklas Beisert et al J. Stat. Mech. (2007) P01021 doi:10.1088/1742-5468/2007/01/P01021
Transcendentality and crossing
FREE ARTICLE Topical articles on The 75th Anniversary of the Bethe AnsatzNiklas Beisert1, Burkhard Eden2 and Matthias Staudacher1
Show affiliationsPart of Topical articles on The 75th Anniversary of the Bethe Ansatz
We discuss possible phase factors for the S-matrix of planar 
gauge theory, leading to modifications at four-loop order as compared to an earlier proposal. While these result in a four-loop breakdown of perturbative BMN scaling, Kotikov–Lipatov transcendentality in the universal scaling function for large-spin twist operators may be preserved. One particularly natural choice, unique up to one constant, modifies the overall contribution of all terms containing odd-zeta functions in the earlier proposed scaling function based on a trivial phase. Excitingly, we present evidence that this choice is non-perturbatively related to a recently conjectured crossing-symmetric phase factor for perturbative string theory on AdS5 × S5 once the constant is fixed to a particular value. Our proposal, if true, might therefore resolve the long-standing AdS/CFT discrepancies between gauge and string theory.
- Keywords
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integrable quantum field theory
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E-print Number: hep-th/0610251
Cited: by |
Refers: to
- PACS
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11.55.-m S-matrix theory; analytic structure of amplitudes
- MSC
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81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)
- Subjects
- Dates
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Issue 01 (January 2007)
Received 24 November 2006, accepted for publication 4 January 2007
Published 30 January 2007
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Transcendentality and crossing
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