How can tree level amplitudes have poles? And how can amplitudes have dimensions?
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An amplitude is nothing but the inner product of some initial state with some final state, $<in|out>$. Since this we'll be interpreted as a probability, when squared, should it be between zero and 1? Shouldn't infinities appear only on loop diagrams, which would bring quantum effects? Isn't the fact that we're getting "infinity" as the answer for a tree level amplitude strange
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Twistor space structure of tree-level amplitudes of gluons.
♦ From top to bottom,
an MHV From top to bottom,
an MHV amplitude is localized on a complex line.
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