Define the Nambu-Goto action
Proper length world line, check notes for form
Give a pro and con of the Nambu-Goto action
The action is invariant under reparameterisation τ → f(τ)
The limit m to 0 is ill-defined and sqrt is messy
Define the Polyakov action
Nambu-goto with 1/e factor and -em^2 and 1/2 in front
Check notes for form