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The Double Copy & Lie polynomials

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The Double Copy & Lie polynomials
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28
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CC Attribution 3.0 Unported:
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The 'field theory KLT' or 'double copy' relations express gravity amplitudes in terms of gauge theory partial amplitudes. I present an elementary proof of these identities, using only the properties of Lie polynomials and the shuffle algebra. The work completes a project sketched by M. Kapranov in 2012, and is joint with C. Mafra.