Contemporary Concepts in Physics Volume 1 TD.Lee Particle Physics an Introduction to Field Theory HT 2h He Mi Gl i ms Particle ics an Introduction to Field Theory Contemporary — 4 "esesiteday Henry Primakoff, Concepts Tiers of Pennsyvenia ; } Associeta Etre in Physics EliBurstein west of Pennsyvania Wills Lam Ohneraty ot Arizona Leon Ledenman PErmintetional Accelerator Laboratory SirFudolf Piers Oxford Unversity Mai Ruderman: Balam Unversity Volume 1 Particle Physics and Introduction to Field Theory. Additional volumes in preparation. Particle ics ana Introduction to Field Theory RT eo fH it 8 4 T.D. Lee Columbia University harwood, ‘ch Copyright 91981 by OPA, Amaterdam, BY. Published under icense and datibated by: Harwood Academic Pubilsners GmbH Gonteratee 22 (6¥17000 Chur, Switzerland Eudtorta Olllee for tha Unites Kingdon: 61 Grays inn Road London WOTK &TL, Editorial Office for he Unitad Stales of Arnercd: Post Office Box 786 Cooper Station New York, New York 10276 Ficet Publianed: August 1961 ‘Second Priating with Corrections: November 1962 ‘AChinace adition was published by Selence Prest, Baling Linrary of Congress Cataloging i Publicaion ala ee, 70,1020 Petile physics anc introduction tt eld theory. {Cantemporary scncepis mphysicev. 1) {Particles {Nuclear prysia} 2. Field thaory (Physics S. Symmetry (Physics) 4 Nuclear reactions Tle I Srics Qcre ACen ae S807 21 aT ISBN 3-r1e6-0052-8 ACEI ISEN3-7196-00827 pte} TO JEANNETTE Contents Prefoce tothe Series see cc ee cee oe Prefoce wait Patt 1; Intveduction to Fald Theory, o Chapter 1: Mechanias of © Finite System (event 3 1.1 Clostest Mechonier a V2 Quentization sess + 4 13. Some General Thacrems 10 Chopter 2: The Spinn0 Field . . a 7 2 2 CChapter 3: The Spine} Fiald .. 2 8.1 Mathematica! Prelimineries 2 32 Free Fleld eee eee eeeessececoecls 2 313 Guarttzation (Free or interacting Fields) <2... 32 3.4 Fourier Exponsion (Frea or interacting Fields) |) 34 315 Hilbert Space (Free or Interacting Falds) a 3.8 Momento ond Angular Mamentiom Operate 41 BL7 hose Foctor Conventions Ketwaen the Spinors >. 45 38 Tworeempanent Theory» s Chapter 4: The Spinel Field (m7 0} 55 AD Free Field vee cce seer 55 42 Iberaeting Fela 1.1 T = CChepter 5: Feynman Dlagrams 2 5.1 Metsenbara, Sebetdinger ‘ond Interaction Ropresentarfons 62 5.2 SoMattie . Chapter 7+ 7A 22 73 74 78 78 Port IT Chapter 8: Ba 82 a3 Pe a5 cv a7 ea Timeerdered Prodvets, Normal Products ‘ond Controctions 2.72 Perturbation Serles % Wick Theorem oo Applications 4 Differential Crest Sections for 14 2 — TSF sutm Quantum Electodyrenties . 3 ograngion : 103 Couloms Gauge 104 Quantization [ter Fhrotan Propagator and Relativistic inverionce 108 Pamockt vets. ccesesaceeese m3 soliton 7 Enrly History. uy Definition, Classification and Some General Remadks 123 Gne-noce-dimensionel Exompler is Topological slltea, Nentopelogieal sallton, Darrek thearam teeeee 198 Selftons vs. Plane Woves. : mi one spoce-dimension, Two space-dinensions, Three space-dimonsioas, Quantization 7 10 Lagrengien, Hewiltouian ded commutation rlctiors. Collective coordinates, Perturbation expansion, Patticle Physics (Crder-of-mageitude Fstimations cee U8 Rei of hn Hystogen Alon wees eevee 2 wlll a2 Tod 165 17 ‘Compton Seamering TD 6s ‘Mess Siegulority ond High-overgy Behavior "1! 170 ster Pair Production by High-energy Thofone. 173 Chopter 16 ral 16.2 wa 64 por 118: Chapter 17 + va 2 wa Vecuum Ar the Souree of Asymmetey 4. 7B What b Yaesu? 378 Dissing Symmetry 380 Vacuum Bxcitatton 2 331 CP Noncontetation dnd Spontaneous Sern recking seeee a) Particle Physics: Interactions Quark Confinement 291 Tre Prebler : 391 olor Dislectrio Censtont Tl 304 ‘A Hypothatteal Problem in Classical Electron mognets : ed A Phenomenological Bxplonstton +400 QCD vacuum are perfect color dio-sisetrc, Analogy with suparcondictvity.Remorks. Quantum Chromedmartes ond Gauge Theories 46 18.1 Non-Abelion Gouge Field Thearies 06 12 An Exomple 40 A simple mechanteal medel, hy 78 gave. 18,3 Quentizetion: Vo= 0 Gauge 419 18.4 Coulomb gouge DUI ae Coordinate transformation, Rigit-bady ration. SUp gouge field (clasieall, Guanran Hamiltonian, 18,5 Diowlacirie (Antscreening! Nature of the Vacwuts 445 =3Uz gouge theory. Peruthotive colevlations. 18.46. Asymotetis Froeders feeeeenes 457 Chapter 15 Path Integretion 465 15.1 Carterton Coordinares 45 19.2 “One-dimensional problem, From Homiitenion aperctar te poth integration, N~dienslonal problem, \Weyl-otdered Homiltonfan 44 From path trregrenion te Hamiltonian eperaroe, ‘Wayleordering.