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Working out a Second Class Constraint in Gory detail?

  1. Nov 28, 2006 #1

    I've been fooling around with some equations, and I've managed to land a second class constraint (I don't know whether to laugh or cry). Well, I was wondering is there any good introduction to the subject?

    The problem I have is that I made the conjugate momentum a function of position, so I have the constraint:
    C^i = \pi^i - p^i = 0
    and thus
    [C^i, C^j] \neq 0
    and I would like to know what exactly [C^i, C^j] is equal to; however, I've never really learned quantum field theory "traditionally" and so I'm completely stuck.

    Any help would be greatly appreciated!
  2. jcsd
  3. Nov 29, 2006 #2


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    If i don't know who [itex] \pi^{i} [/itex] and [itex] p^{i} [/itex] are, i can't really help you.


    P.S. It's enough to post the lagrangian (density) you started with.
  4. Nov 29, 2006 #3
    Well, I think I've got it figured out now, thanks anyways.
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