Field Theory I 場の理論第一 

Day and hours: Tuesday, Friday 1&2 periods 火、金曜1,2限  
Place: H115 
reference:   M. Srednicki, Quantum Field Theory 

Plan of Lectures:

June 14 (1)  Lorentz invariance [sect 2]

lecture note (1)



June 17 (2)  canonical quantization of scalar fields [sect 3]

lecture note (2)

Exercise: 2-8,3-1

June 21 (3) Quantization of Dirac fields
            representation of the Lorentz group [sect 33]
            left and right handed spinor fields [sect 34]

lecture note (3)

Exercise: 33-2,34-1

June 24 (4) manipulating spinor fields [sect 35]
            Lagrangians for spinor fields [sect 36]
Exercise: 35-4, 36-3(追加問題 7/22まで提出)

lecture note (4)


June 28 (5) canonical quantization of spinor fields [sect 37]
            spinor technology [sect38]
            canonical quantization of spinor fields II [sect39]
Exercise: 38-4, 39-2

lecture note (5)


July 1 (6) Maxwell equations [sect54]
           Electrodynamics in Coulomb gauge [sect55]
           spinor elctrodynamics [sect58]
           nonabelian gauge theory [sect69]
Excercise: 55-1

lecture note (6)


July 5 (7) Continous symmetries and conserved currents [sect22]
           Discrete symmetries[sect23,40] 
Excercise: 22-2    

lecture note (7)


July 8 (8) The LSZ reduction formula [sect 5]
           The LSZ reduction forumula for spin 1/2 particle[sect 41]

lecture note (8)


July 12 (9) Path-integral
            path-integral in qiantum mechanics [sect6]
            path-integral for the harmonic oscillator [sect7]

レポート問題: Path-integral以降の授業に対応するsectionから10問以上選び解答せよ
〆切： 8/8(月) 12:30 R101伊藤まで

lecture note (9)


July 15 (10) path-integral for free field theory [sect8]
             formal development of fermionic path integral [sect44]
             the path integral for fermionic fields [sect43]
             path integral for photons [sect57]

lecture note (10)



July 19 (11) path integral for interaction field theory [sect9]
             scattering amolitudes and the Feynman rules [sect10]

July 22 (12) Cross section and decay rates [sect11]

July 26 (13) The Feynman rules for Dirac fields [sect45]

July 29 (14) spin sums[sect46]
             Gamma matrix technology [sect47]
             spin averaged cross section[sect48]
             path integral for spinor electrodynamics [sect58]
             scattering in spinor elctrodynamics [sect59]
             loop correction to the propgator [sect14]

August 2 (15) 休講

August 5 

August 9