MathematicalAspectsofQuantumFieldTheory(CambridgeStudiesinAdvancedMathematics)

Providinganewperspectiveonquantumfieldtheory,thisbookgivesapedagogicalandup-to-dateexpositionofnon-perturbativemethodsinrelativisticquantumfieldtheoryandintroducesthereadertomodernresearchworkintheoreticalphysics.Itdescribesindetailnon-perturbativemethodsinquantumfieldtheory,andexplorestwo-dimensionalandfour-dimensionalgaugedynamicsusingthosemethods.Thebookconcludeswithasummaryemphasizingtheinterplaybetweentwo-andfour-dimensionalgaugetheories.Aimedatgraduatestudentsandresearchers,thisbookcoverstopicsfromtwo-dimensionalconformalsymmetry,affineLiealgebras,solitons,integrablemodels,bosonization,and'tHooftmodel,tofour-dimensionalconformalinvariance,integrability,largeNexpansion,Skyrmemodel,monopolesandinstantons.Applications,firsttosimplefieldtheoriesandgaugedynamicsintwodimensions,andthentogaugetheoriesinfourdimensionsandquantumchromodynamics(QCD)inparticular,arethoroughlydescribed.