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Main Question or Discussion Point
hi there,
In this Ex ( see attached snapshot ), point b), the poisson bracket equation is not so straightforward to obtain.
Please correct my Poisson Bracket expansion here :
The first one which is provided is simpler :
[ε,η] = ε^{μ}δ_{μ}η^{ρ}  η^{μ}δ_{μ}ε^{ρ} = ζ^{η}
and the monster one :
[p_{ε},p_{η}] = [p_{μ}ε^{μ},p_{β}η^{β}] = (p_{μ}ε^{μ})∂_{μ}(p_{β}η^{β}) 
(p_{μ}η^{μ})∂_{μ}(p_{β}ε^{β})
Thanks,
In this Ex ( see attached snapshot ), point b), the poisson bracket equation is not so straightforward to obtain.
Please correct my Poisson Bracket expansion here :
The first one which is provided is simpler :
[ε,η] = ε^{μ}δ_{μ}η^{ρ}  η^{μ}δ_{μ}ε^{ρ} = ζ^{η}
and the monster one :
[p_{ε},p_{η}] = [p_{μ}ε^{μ},p_{β}η^{β}] = (p_{μ}ε^{μ})∂_{μ}(p_{β}η^{β}) 
(p_{μ}η^{μ})∂_{μ}(p_{β}ε^{β})
Thanks,
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