Twist-two operators and the BFKL regime : nonstandard solutions of the Baxter equation

2013
journal article
article
11
dc.abstract.enThe 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.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.contributor.authorJanik, Romuald - 100502 pl
dc.date.accessioned2015-06-30T14:31:34Z
dc.date.available2015-06-30T14:31:34Z
dc.date.issued2013pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number11pl
dc.description.publication1pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume2013pl
dc.identifier.articleid153pl
dc.identifier.doi10.1007/JHEP11(2013)153pl
dc.identifier.eissn1029-8479pl
dc.identifier.issn1126-6708pl
dc.identifier.projectROD UJ / Ppl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/10815
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeotwarte czasopismo
dc.subject.enAdS-CFT correspondencepl
dc.subject.enBethe Ansatzpl
dc.subject.enintegrable field theoriespl
dc.subtypeArticlepl
dc.titleTwist-two operators and the BFKL regime : nonstandard solutions of the Baxter equationpl
dc.title.journalThe Journal of High Energy Physicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
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.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.contributor.authorpl
Janik, Romuald - 100502
dc.date.accessioned
2015-06-30T14:31:34Z
dc.date.available
2015-06-30T14:31:34Z
dc.date.issuedpl
2013
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
11
dc.description.publicationpl
1
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
2013
dc.identifier.articleidpl
153
dc.identifier.doipl
10.1007/JHEP11(2013)153
dc.identifier.eissnpl
1029-8479
dc.identifier.issnpl
1126-6708
dc.identifier.projectpl
ROD UJ / P
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/10815
dc.languagepl
eng
dc.language.containerpl
eng
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.enpl
AdS-CFT correspondence
dc.subject.enpl
Bethe Ansatz
dc.subject.enpl
integrable field theories
dc.subtypepl
Article
dc.titlepl
Twist-two operators and the BFKL regime : nonstandard solutions of the Baxter equation
dc.title.journalpl
The Journal of High Energy Physics
dc.typepl
JournalArticle
dspace.entity.type
Publication

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