Physics 831 - Quantum Field Theory

Lecture Notes

Lecture Topics

9/14: Finish K.G. quantization; discussion of Lorentz invariance; spin-statistics (S. 3-4)
9/16: Discuss LSZ reduction (S. 5)
9/21: Finish LSZ reduction, start path integrals (S. 5-6)
9/23: Path integrals in quantum mechanics (S. 6-7)
9/28: Path integral for the harmonic oscillator, path integral in field theory (S. 7-8)
9/30: Path integrals in interacting field theories (S. 8-9)
10/5: Path integrals in interacting field theories (S. 9)
10/7: Scattering amplitudes and Feynman rules (S. 10)
NOTE: Extra class on Friday, 10/9 and 10/16 from 5:15-6:30 PM in Chamberlin 4274
10/9: Feynman rules, cross sections (S. 10-11)
10/12: Cross sections (S. 11)
10/14: Loop corrections to the propagator (S. 14)
10/16: Loop corrections to the propagator and vertex (S. 14, 16)
10/26: The four-point function and renormalizability (S. 17, 18)
10/29: Renormalizability and two-particle scattering at one loop (S. 19, 20)
11/2: Infrared divergences (S. 26)
11/16: MS-bar renormalization (S. 27)
11/18: Renormalization group (S. 28)
11/23: Lorentz group (S. 2, 33)

Homework Sets

HW #1, due 9/16/2009: Srednicki, problems 3.2, 3.5, 4.1 Solutions
HW #2, due 9/23/2009 Solutions
HW #3, due 9/30/2009: Srednicki, problems 6.1.b, 7.4, 8.7 Solutions
HW #4, due 10/14/2009: Srednicki, problems 9.2, 9.3, 9.4, Peskin 4.1 Solutions
HW #5, due 10/28/2009: Srednicki, problems 10.2, 10.3, 10.4, 11.4, 14.1 Solutions
HW #6, due 11/4/2009: Srednicki, problems 11.3, 16.1, 18.1, 20.2
HW #7, due 11/18/2009: Srednicki 16.2 (in both 4d and 6d (only comment on what happens in 6d)); attempt to read through section 27 and do 27.1
HW #8, due 12/2/2009: Srednicki 28.1, 28.3