Foundations of Cryptography: Volume 2, Basic Applications
- 作者
- 出版社 Cambridge University Press
- 出版时间 2009年9月
- ISBN 9780521119917
- 定价 462.70
内容简介
Volume1:FromBrownianMotiontoRenormalizationandLatticeGaugeTheory.Volume2:StrongCoupling,MonteCarloMethods,ConformalFieldTheory,andRandomSystems.Thistwo-volumeworkprovidesacomprehensiveandtimelysurveyoftheapplicationofthemethodsofquantumfieldtheorytostatisticalphysics,averyactiveandfruitfulareaofmodernresearch.Thefirstvolumeprovidesapedagogicalintroductiontothesubject,discussingBrownianmotion,itsanticommutativecounterpartintheguiseofOnsager'ssolutiontothetwo-dimensionalIsingmodel,themeanfieldorLandauapproximation,scalingideasexemplifiedbytheKosterlitz-ThoulesstheoryfortheXYtransition,thecontinuousrenormalizationgroupappliedtothestandardphi-tothefourththeory(thesimplesttypicalcase)andlatticegaugetheoryasapathwaytotheunderstandingofquarkconfinementinquantumchromodynamics.Thesecondvolumecoversmorediversetopics,includingstrongcouplingexpansionsandtheiranalysis,MonteCarlosimulations,two-dimensionalconformalfieldtheory,andsimpledisorderedsystems.ThebookconcludeswithachapteronrandomgeometryandthePolyakovmodelofrandomsurfaceswhichillustratestherelationsbetweenstringtheoryandstatisticalphysics.Thetwovolumesthatmakeupthisworkwillbeusefultotheoreticalphysicistsandappliedmathematicianswhoareinterestedintheexcitingdevelopmentswhichhaveresultedfromthesynthesisoffieldtheoryandstatisticalphysics.
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