In Peskin and Schroeder, after having derived a conserved tensor Tμν associated with translations in space-time (the stress-energy tensor), it is said that the charges ∫d3xT0i: Pi=−∫d3xiiπ(x)∂iϕ(x)
are to be "interpreted" as the physical momentum, as opposed to the canonical momentum, whose density is
π(x) = ∂L∂˙ϕ(x).
Is there a way of showing that the above equation does indeed correspond to the physical momentum?
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