书目

NonlinearSystemsAnalysis(ClassicsinAppliedMathematics)(No.42)

内容简介

Thisisasystematicpresentationofquantumfieldtheoryfromfirstprinciples,emphasizingboththeoreticalconceptsandexperimentalapplications.Startingfromintroductoryquantumandclassicalmechanics,thisbookdevelopsthequantumfieldtheoriesthatmakeupthe'StandardModel'ofelementaryprocesses.Itderivesthebasictechniquesandtheoremsthatunderlytheoryandexperiment,includingthosethatarethesubjectoftheoreticaldevelopment.Specialattentionisalsogiventothederivationsofcrosssectionsrelevanttocurrenthigh-energyexperimentsandtoperturbativequantumchromodynamics,withexamplesdrawnfromelectron-positronannihilation,deeplyinelasticscatteringandhadron-hadronscattering.Thefirsthalfofthebookintroducesthebasicideasoffieldtheory.Thediscussionofmathematicalissuesiseverywherepedagogicalandselfcontained.Topicsincludetheroleofinternalsymmetryandrelativisticinvariance,thepathintegral,gaugetheoriesandspontaneoussymmetrybreaking,andcrosssectionsintheStandardModelandinthepartonmodel.ThematerialofthishalfissufficientforanunderstandingoftheStandardModelanditsbasicexperimentalconsequences.Thesecondhalfofthebookdealswithperturbativefieldtheorybeyondthelowest-orderapproximation.Exercisesareincludedforeachchapter,andseveralappendicescomplementthetext.

作者简介

M.VidyasagarisExecutiveVicePresidentofTataConsultancyServicesinHyderabad,India.HehasheldnumerousacademicvisitingpositionswithuniversitiessuchasMIT,theUniversityofCalifornia,andTokyoInstituteofTechnologyandhasalsoheldvariousconsultancypositionswithinthefield.Inaddition,hehaspublishedmanyarticlesinlinear,nonlinear,androbustcontroltheory;robotics;andstatisticallearningtheory.Hehasauthoredorco-authoredmorethanahalfdozenbooksonthesetopics.

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