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1、ThispageintentionallyleftblankAMODERNAPPROACHTOCRITICALPHENOMENAThestudyofcriticalphenomenaisoneofthemostexcitingareasofmod-ernphysics.Thisbookprovidesathoroughbuteconomicintroductionintotheprinciplesandtechniquesofthetheoryofcriticalphenomenaandtherenormalizatio
2、ngroup,fromtheperspectiveofmoderncondensedmatterphysics.Assumingbasicknowledgeofquantumandstatisticalmechanics,thebookdiscussesphasetransitionsinmagnets,superfluids,superconduc-tors,andgaugefieldtheories.Particularattentionisgiventomoderntopicssuchasgaugefieldfluctua
3、tionsinsuperconductors,theKosterlitz-Thoulesstransition,dualitytransformations,andquantumphasetransitions,allofwhichareattheforefrontoftoday’sphysicsresearch.AModernApproachtoCriticalPhenomenacontainsnumerousproblemsofvaryingdegreesofdifficulty,withsolutions.These
4、problemsprovidereaderswithawealthofmaterialtotesttheirunderstandingofthesubject.Itisidealforgraduatestudentsandmoreexperiencedresearchersinthefieldsofcondensedmatterphysics,statisticalphysics,andmany-bodyphysics.IgorHerbutisProfessorofPhysicsatSimonFraserUniversit
5、yinBurn-aby,BritishColumbia.HehasheldvisitingappointmentsattheMaxPlanckInstitute,theKavliInstituteforTheoreticalPhysics,andtheTokyoInstituteofTechnology.ProfessorHerbuthasauthoredanumberofresearchpapersonquantumphasetransitions,disorderedsystems,gaugefieldtheories
6、,andhigh-temperaturesuperconductivity.AMODERNAPPROACHTOCRITICALPHENOMENAIGORHERBUTSimonFraserUniversityCAMBRIDGEUNIVERSITYPRESSCambridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,SãoPauloCambridgeUniversityPressTheEdinburghBuilding,CambridgeCB28RU,UKPublishedin
7、theUnitedStatesofAmericabyCambridgeUniversityPress,NewYorkwww.cambridge.orgInformationonthistitle:www.cambridge.org/9780521854528©I.Herbut2007Thispublicationisincopyright.Subjecttostatutoryexceptionandtotheprovisionofrelevantcollectivelicensingagreements,noreprod
8、uctionofanypartmaytakeplacewithoutthewrittenpermissionofCambridgeUniversityPress.Firstpublishedinprintformat2006ISBN-13978-0-511-24940-2eBook(EBL)ISBN-100-511-