Exploiting the 1, 440-fold symmetry of the master two-loop diagram |
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Authors: | D J Broadhurst |
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Institution: | 1. Department of Physics, Open University, MK7 6AA, Milton Keynes, UK
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Abstract: | The 1, 440-element symmetry group of the generic two-loop diagram of massless scalar field theory in 4-2ω dimensions is computed, using tetrahedral symmetry and star-triangle duality. Constructing all quadratic and quartic polynomial invariants, we expand the diagram throughO(ω 5), where one first encounters a coefficient that does not appear to be expressible in terms of the Riemann zeta function, thereby strengthening previous suspicions that genuinely new calculational comoplexity arises at the level of 6-loop renormalization. |
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