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《Integrable aspects of the scaling q-state Potts models I_ bound states and bootstrap closure》由會(huì)員上傳分享，免費(fèi)在線閱讀，更多相關(guān)內(nèi)容在學(xué)術(shù)論文-天天文庫(kù)。
1、DCPT-02/51hep-th/0208111Integrableaspectsofthescalingq-statePottsmodelsI:boundstatesandbootstrapclosurePatrickDorey1,AndrewPocklington2andRobertoTateo31,3Dept.ofMathematicalSciences,UniversityofDurham,DurhamDH13LE,UK2IFT/UNESP,InstitutodeFisicaTeorica,01405-900,SaoPaulo-SP,BrasilAbstractWedis
2、cusstheq-statePottsmodelsforq≤4,inthescalingregimesclosetotheircriticalortricriticalpoints.StartingfromthekinkS-matrixelementsproposedbyChimandZamolodchikov,thebootstrapisclosedforthescalingregionsofallcriticalpoints,andforthetricriticalpointswhen4>q≥2.Wealsonoteacuriousappearanceoftheextende
3、dlastlineofFreudenthal’smagicsquareinconnectionwiththePottsmodels.arXiv:hep-th/0208111v28Oct20021e-mail:p.e.dorey@durham.ac.uk3e-mail:roberto.tateo@durham.ac.uk1IntroductionTheq-statePottsmodelsdirectlygeneralisethemostwell-knownofalltwo-dimensionalintegrablemodels,theIsingmodel.Theyhavebeenm
4、uchstudied,bothintheirownrightasinterestingstatistical-mechanicalsystems,andbecauseoftheirrelationswithothermodels–thelimitq→1,forexample,describesbondpercolation.However,theyarebynomeanscompletelyunderstood.Inthispaperanditssequelweshalldiscussthetreatmentofthesemodelsintheframeworkofcontinu
5、um?eldtheory.Suchtechniquesareexpectedtobeapplicableinscalingregimesneartocriticalpoints,thoughfortheq-statePottsmodelssomeelementsofthetreatmentwillberatherformal,re?ectingthenonlocalmannerinwhichthemodelsareinitiallyde?nedonthelattice.Inthispaperwefocusonthedescriptionofthemodelsintermsofth
6、eon-shelldataprovidedbyanexactS-matrix.Anumberofyearsago,ChimandZamolodchikovproposedasetofamplitudesforthescatteringofelementarykink-likeexcitationsinthelow-temperaturephaseofthemodel[1].(Adi?erenttreatmenthadpreviouslybeensuggestedbySmirnov[2],basedonquantum-groupreductionsoftheIzergin-Kore
7、pinS-matrix.InthisarticleweshallworkfromtheChim-Zamolodchikovformulation,asitmorecloselyre?ectsthecontinuousnatureoftheFortuin-Kasteleyn[3]de?nitionofthetheoryonalattice,butwenotethattherelationshipbetweenthetwoapproacheshasrecentlybeenclari?
