Twist-two operators and the BFKL regime — nonstandard solutions of the Baxter equationReport as inadecuate




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Journal of High Energy Physics

, 2013:153

First Online: 19 November 2013Received: 16 September 2013Accepted: 22 October 2013 Abstract

The link between BFKL physics and twist-two operators involves an analytical continuation in the spin of the operators away from the physical even integer values. Typically this is done only after obtaining an analytical result for integer spin through nested harmonic sums. In this paper we propose analyticity conditions for the solution of Baxter equation which would work directly for any value of complex spin and reproduce results from the analytical continuation of harmonic sums. We carry out explicit contructions up to 2-loop level. These nonstandard solutions of the Baxter equation have rather surprising asymptotics. We hope that these analyticity conditions may be used for incorporating them into the exact TBA-FiNLIE-QSC approaches valid at any coupling.

KeywordsAdS-CFT Correspondence Bethe Ansatz Integrable Field Theories ArXiv ePrint: 1309.2844

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Author: Romuald A. Janik

Source: https://link.springer.com/



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