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Translation invariance leads to the conservation of the stress-tensor Tv, given by ac THE a(@ $) for a real Klein-Gordon field. Use the expansion of
Translation invariance leads to the conservation of the stress-tensor Tv, given by ac THE a(@ $) for a real Klein-Gordon field. Use the expansion of the Klein-Gordon field in creation and annihilation operators to compute the Hamiltonian H, and momentum, P as follows. H = Tax = / Hd'x. pi = Toid'x = - ndio d'I, Further show that they can also be written as- H = (27 )3 Wp apap + ! [ap, ab]) P= - d'x T(x) Vo(x) = (27 )3 Papap
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