Thisvolumedescribestheadvancesinthequantumtheoryoffieldsthathaveledtoanunderstandingoftheelectroweakandstronginteractionsoftheelementaryparticles.Theseinteractionshaveallturnedouttobegovernedbyprinciplesofgaugeinvariance,sowestarthereinChapters15-17withgaugetheories,generalizingthefamiliargaugeinvarianceofelectrodynamicstonon-AbelianLiegroups.Someofthemostdramaticaspectsofgaugetheoriesappearathighenergy,andarebeststudiedbythemethodsoftherenormalizationgroup.ThesemethodsareintroducedinChapter18,andappliedtoquantumchromodynamics,themodernnon-Abeliangaugetheoryofstronginteractions,andalsotocriticalphenomenaincondensedmatterphysics.Chapter19dealswithgeneralspontaneouslybrokenglobalsymmetries,andtheirapplicationtothebrokenapproximateSU(2)xSU(2)andSU(3)xSU(3)symmetriesofquantumchromodynamics.Boththerenormalizationgroupmethodandbrokensymmetriesfindsomeoftheirmostinterestingapplicationsinthecontextofoperatorproductexpansions,discussedinChapter20.Thekeytotheunderstandingoftheelectroweakinteractionsisthespontaneousbreakingofgaugesymmetries,whichareexploredinChap-ter21andappliedtosuperconductivityaswellastotheelectroweakinteractions.Quiteapartfromspontaneoussymmetrybreakingisthepossibilityofsymmetrybreakingbyquantum-mechanicaleffectsknownasanomalies.AnomaliesandvariousoftheirphysicalimplicationsarepresentedinChapter22.ThisvolumeconcludeswithadiscussioninChapter23ofextendedfieldconfigurations,whichcanariseeitherasnewingredientsinphysicalstates,suchasskyrmions,monopoles,orvortexlines,orasnon-perturbativequantumcorrectionstopathintegrals,whereanomaliesplayacrucialrole.