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Physics 253a
Final Exam: Answers
The Feynman Tree Theorem.
p
i
p2 + m2 i, i.e. at ~p 2
1. In the case of the Feynman propagator, we have poles at p0 = ~
~
p
and ~p +
i
2~p .
Lets call these ~p i and ~
Lorentz Generators
We know from considering infinitesimal transformations that the Lorentz transformation
generators must be antisymmetric, and so the only choice is an overall sign. Here they are
wit
Homework 3 Solutions
1
Free graviton Hamiltonian
Show that the free graviton action we discussed in class (before making it gauge- and Lorentzinvariant),
S0 = d4 x hij hij ,
(1)
yields the correct fre
Chapter 4
Quantization of Fields
Take some uniform medium that vibrates and in which waves can propagate, which
could for example be a lattice of molecules. In such system, each normal mode of the
vib
Last Latexed: March 24, 2011 at 9:38
1
Physics 504, Lecture 16
March 28, 2011
c
Copyright2009
by Joel A. Shapiro
1
More on Lorentz Transformations
We saw last time that a (proper) finite Lorentz trans