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Perturbative quantum field theories frequently feature rational linear combinations of multiple zeta values (periods).
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R. Britto, F. Cachazo, B. Feng, E. Witten, Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory, Phys. Rev. Let. 94:181602 (2005)
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K. Ebrahimi-Fard, D. Kreimer, Hopf algebra approach to Feynman diagram calculations, J. Phys. A 38
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C.F. Berger, Z. Bern, L.J.Dixon, D. Forde, D.A. Kosower, On-Shell Unitarity Bootstrap for QCD Amplitudes, Nucl. Phys. Proc. Suppl. 160
2006
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S. Bloch, H. Esnault, and D. Kreimer, On Motives Associated to Graph Polynomials, Comm. Math. Phys. 267
2006
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2008
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