Working out a Second Class Constraint in Gory detail?

[pqnelson]

Hello,

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!

 

[dextercioby]

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

Daniel.

P.S. It's enough to post the lagrangian (density) you started with.

 

[pqnelson]

Well, I think I've got it figured out now, thanks anyways.