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Zwiebach section 12.4

  1. Nov 1, 2007 #1
    1. The problem statement, all variables and given/known data
    On page 221 Zwiebach uses the "definition" M^2 = -p^2. I am not sure where this comes from since normally

    m^2c^4 + p^2 c^2 = E^2

    and even dropping the c's does not reduce to that.

    EDIT: I see. It is the light-cone Lorentz generator of section 11.6. How is he getting the square of it though? Working it out with 11.76?

    EDIT 2: Wrong again. It is the just the energy-momentum invariant since the p I wrote above was only a three-vector. So, why is it a capital M?
    2. Relevant equations



    3. The attempt at a solution
     
    Last edited: Nov 1, 2007
  2. jcsd
  3. Nov 1, 2007 #2

    nrqed

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    Don't confuse four-momenta with three-momenta. In M^2 = - P^2, P is a four-momentum. In your seond equation p is the three-momentum.

    In any case, depending on the metric used, the square of the four-momentum may either be taken as P^2 = E^2-p^2 OR as p^2-E^2 which gives either +m^2 or -m^2 (setting c=1 everywhere)
     
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