Physics 582, Fall Semester 2011
Professor Eduardo Fradkin
Problem Set No. 6:
Due Date: November 26, 2011
1
Path-Integral Quantization of the Free Electromagnetic Field.
In this problem you are asked to use the path-integral quantization of the free
electr
Phys 582 General Field Theory
Problem Set No.5 Solutions
Di Zhou
November 3, 2011
1
Propagators and Correlation Functions for the
One-Dimensional Quantum Heisenberg Antiferromagnet
1. First of all we need to have a look at the time-evolution of the operat
Phys 582 General Field Theory
Problem Set No.4 Solutions
Di Zhou
October 16, 2011
1
Path Integral for a particle in a double well
potential
1. The real time path-integral is:
i
DpDqe h
qf , tf |qi , ti =
tf
ti
dt[pq H (p,q )]
i
=
Dqe h
tf
ti
dtL(q,q )
(1)
Phys 582 General Field Theory
Problem Set No.3 Solutions
Di Zhou
October 12, 2011
Before proceeding, I want to mention that I use Eq.(n) to denote the nth
equation in my solution, while eq.(n) for the nth equation in Professor Fradkins
problem set.
1
Spin
Phys 582 General Field Theory
Problem Set No.2 Solutions
Di Zhou
October 5, 2011
1
Symmetries and Conservation Laws
1. Under a global transformation, the scalar eld changes while the vector eld
not. The variation of these elds are:
(x) = (x) (x) = i
(x)
Phys 582 General Field Theory
Problem Set No.1 Solutions
Di Zhou
August 29, 2011
1
The Landau Theory of Phase Transitions as a
Classical Field Theory
1. Due to the free energy density , the free energy is:
F=
1
2
( (x) + U (x) d3 x
2
d3 x =
(1)
To nd the