Páginas:852Géneros:12:PHU:Mathematicalphysics12:PH:Physics12:PBM:GeometrySinopsis: ,",Thisself-containedworkstillprovidesausefulintroductionofbasicideas,structures,andresultswhichhavemadeagreatimpactonthedevelopmentofmathematicalphysics.",ZentralblattMATH ,Thisnew(second)editioncontainsageneraltreatmentofquantumfieldtheory(QFT)inasimplescalarfieldsettinginadditiontothemodernmaterialontheapplicationsofdifferentialgeometryandtopology,grouptheory,andthetheoryoflinearoperatorstophysicsfoundinthefirstedition.Alltheseareintroducedwithoutassumingmorebackgroundonthepartofthereaderthanagoodfoundationinundergraduate(junior)levelmathematicalphysics.Thenewmaterialentirelyfocusesonanintroductiontoquantumfieldtheory,emphasizingtheFeynmanpath(functionalintegral)approachtoQFTandtherenormalizationgroup.Withrespecttothelatter,thefocusisonanintroductionofitsapplicationtocriticalphenomenainstatisticalphysics,followingtheoutgrowthoftheCallan&ndash,Symanzikequationoriginallydevelopedinthecontextofhighenergyphysics,andtheseminalcontributionsofKennethWilson.Oneoftheoverridingaimsofthenewmaterialisalsotodrawstudents',attentiontothedeepconnectionsbetweenhighenergyphysicsandstatisticalmechanics.Theunavoidabletechnicalaspectsareexplainedwithaminimumofprerequisitematerialandjargon,andconceptualunderstandingisalwaysgivenprominencebeforemasteryoftechnicaldetails,buttheimportanceofthelatterisneverunderestimated.Derivationaldetailsandmotivationaldiscussionsareprovidedinabundanceinordertoensurecontinuityofreading,andtoavoidtryingthereaders',patience._,
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