introduction to string field theory - warren siegle

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1、INTRODUCTIONtoSTRINGFIELDTHEORYWarrenSiegelUniversityofMarylandCollegePark,MarylandPresentaddress:StateUniversityofNewYork,StonyBrookmailto:warren@wcgall.physics.sunysb.eduhttp://insti.physics.sunysb.edu/˜siegel/plan.htmlCONTENTSPreface6.Classicalmechanics1.Introduction6.1.Ga

2、ugecovariant1201.1.Motivation16.2.Conformalgauge1221.2.Knownmodels(interacting)36.3.Lightcone1251.3.Aspects4Exercises1271.4.Outline67.Light-conequantummechanics2.Generallightcone7.1.Bosonic1282.1.Actions87.2.Spinning1342.2.Conformalalgebra107.3.Supersymmetric1372.3.Poincar´ea

3、lgebra13Exercises1452.4.Interactions168.BRSTquantummechanics2.5.Graphs198.1.IGL(1)1462.6.Covariantizedlightcone208.2.OSp(1,1

4、2)157Exercises238.3.Lorentzgauge1603.GeneralBRSTExercises1703.1.Gaugeinvarianceand9.Graphsconstraints259.1.Externalfields1713.2.IGL(1)299.2.Trees1773.3.

5、OSp(1,1

6、2)359.3.Loops1903.4.Fromthelightcone38Exercises1963.5.Fermions4510.Light-conefieldtheory1973.6.Moredimensions46Exercises203Exercises5111.BRSTfieldtheory4.Generalgaugetheories11.1.Closedstrings2044.1.OSp(1,1

7、2)5211.2.Components2074.2.IGL(1)62Exercises2144.3.Extramodes671

8、2.Gauge-invariantinteractions4.4.Gaugefixing6812.1.Introduction2154.5.Fermions7512.2.Midpointinteraction217Exercises79Exercises2285.ParticleReferences2305.1.Bosonic81Index2415.2.BRST845.3.Spinning865.4.Supersymmetric955.5.SuperBRST110Exercises118PREFACEFirst,I’dliketoexplainth

9、etitleofthisbook.Ialwayshatedbookswhosetitlesbegan“Introductionto...”Inparticular,whenIwasagradstudent,bookstitled“IntroductiontoQuantumFieldTheory”werethemostdifficultandadvancedtext-booksavailable,andIalwaysfearedwhataquantumfieldtheorybookwhichwasnotintroductorywouldlooklike.

10、ThereisnowastandardreferenceonrelativisticstringtheorybyGreen,Schwarz,andWitten,SuperstringTheory[0.1],whichcon-sistsoftwovolumes,isover1,000pageslong,andyetadmitstohavingsomemajoromissions.NowthatIsee,fromanauthor’spointofview,howmucheffortisnec-essarytoproduceanon-introducto

11、rytext,thewords“Introductionto”takeamoretranquilizingcharacter.(Ihav