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Question: Calculate canonical momentum of a field

Question:Calculate canonical momentum of a field

scallopedpancake 25 Maple
lagrangian physics momentum incomplete-question
November 26 2024
0

I'm having some trouble finding how to do this: given some field with spacetime indices, say h[mu,nu] and a Lagrangian L of that field, I want to do a n+1 split to find the canonical momentum pi[~mu,~nu]. I can do the splitting fine, but it's calculating the canonical momentum that is the problem. I've tried a couple of different methods using diff and SubstituteTensorIndices but I can't get it to work: I either get the wrong answer or zero (also wrong). Anyone with any ideas or a working example of this, I'd appreciate to hear from!
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