1
8.324
Quantum Field Theory II
Problem Set 2 Solutions
1. (a) PS 15.1 (c) and (d): For this problem it is very useful to note that t1 t7 are Pauli matrices in dierent
subspaces. t8 can than be treated separately. We would like to verify that
tr ta tb = C
Quantum Field Theory II (8.324) Fall 2010
Assignment 1
Readings
Peskin & Schroeder chapters 15 and 16
Weinberg vol 2 chapter 15.
Prof. Zwiebachs notes on Lie algebras
Note:
In lectures I will focus on presenting physical ideas and will not have time t
8.311: Electromagnetic Theory
Problem Set # 9 Due: 4/14/04
Lorentz transformations of
Reading: Schwinger, Chap. 9, 10
elds. Relativistic dynamics.
1. (a) Consider an innite charged wire with charges e uniformly spread over it with density n. In
the wire f
8.311: Electromagnetic Theory
Problem Set # 10
Due: 4/23/04
Retarded electromagnetic Greens function. Energy balance in radiation.
Reading: Schwinger, Chaps. 31, 32.
1. Charge moving at constant velocity. (Schwinger, Problems 1 2, Chap 31)
(a) A particle
1.(Jackson, problem 11.1) A possible clock is shown in the gure. It consists of a ashtube F and a
photocell P shielded so that each views only the mirror M, located a distance d away, and mounted
rigidly with respect to the ashtube-photocell assembly. The
Quantum Field Theory II (8.324) Fall 2010
Assignment 2
Readings
Prof. Zwiebachs notes on Lie algebras
Peskin & Schroeder chapters 15 and 16
Weinberg vol 2 chapter 15.
After nishing non-Abelian gauge theories we will go back to Peskin & Schroeder
chapt
1
8.324
Quantum Field Theory II
Problem Set 1 Solutions
1. The Lagrangian in question is
L = i (/ m)
(1)
where is a spinor doublet.
(a) Since the generators Ta are Hermitian, the transformation laws are
= ia Ta
= ia Ta
(2)
(3)
The Lagrangian is quite t
1
8.324
Quantum Field Theory II
Problem Set 3 Solutions
1. (a) Lets denote the Lorentz transformation of p as p = p. Since p = 0 , p = 0 this implies that
C 4 () for some constant C. Then, for some function of momentum f ,
p
Z
Z
4
4
f (0) = d p f () () =
Quantum Field Theory II (8.324) Fall 2010
Assignment 3
Readings
Peskin & Schroeder chapters 6 and 7
Weinberg vol 1 chapters 10 and 11.
Note:
Problem 2 reminds you how to calculate decay rates from tree level diagrams.
My discussion of renomralization