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Twist-two operators and the BFKL regime : nonstandard solutions of the Baxter equation
AdS-CFT correspondence
Bethe Ansatz
integrable field theories
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.
dc.abstract.en | 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. | pl |
dc.affiliation | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego | pl |
dc.contributor.author | Janik, Romuald - 100502 | pl |
dc.date.accessioned | 2015-06-30T14:31:34Z | |
dc.date.available | 2015-06-30T14:31:34Z | |
dc.date.issued | 2013 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.number | 11 | pl |
dc.description.publication | 1 | pl |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 2013 | pl |
dc.identifier.articleid | 153 | pl |
dc.identifier.doi | 10.1007/JHEP11(2013)153 | pl |
dc.identifier.eissn | 1029-8479 | pl |
dc.identifier.issn | 1126-6708 | pl |
dc.identifier.project | ROD UJ / P | pl |
dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/10815 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights | Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa | * |
dc.rights.licence | CC-BY | |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/legalcode.pl | * |
dc.share.type | otwarte czasopismo | |
dc.subject.en | AdS-CFT correspondence | pl |
dc.subject.en | Bethe Ansatz | pl |
dc.subject.en | integrable field theories | pl |
dc.subtype | Article | pl |
dc.title | Twist-two operators and the BFKL regime : nonstandard solutions of the Baxter equation | pl |
dc.title.journal | The Journal of High Energy Physics | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
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Except as otherwise noted, this item is licensed under the Attribution 4.0 International licence