Physics 742
1
1.1
Homework 1
Lorentz transform warmup
Problem
Consider a boost by amount b1 in the x-direction. Take b1 to be small and write out
= exp to second order in b1 .
Now consider a boost by b2 in the y -direction. Again, write out the matrix fo
Physics 742
1
Homework 2 Solutions
Disallowed Lagrangian Terms
Explain as briey as possible why each of the following terms is not a permissible term in
the Lagrangian density L(x) of the Standard Model. Fields are evaluated at point x unless
indicated ot
Physics 742
1
Homework 3 Solutions
Top quark decay
Compute the decay width and lifetime of the top quark. Get the right answer without factor
of 2 type mistakes and without looking it up anywhere. Do this as follows.
Choose a partner from the students enr