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arXiv · 1408.4004

Integration-by-parts identities from the viewpoint of differential geometry

Yang Zhang
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Abstract

We present a new method to construct integration-by-part (IBP) identities from the viewpoint of differential geometry. Vectors for generating IBP identities are reformulated as differential forms, via Poincar\'{e} duality. Using the tools of differential geometry and commutative algebra, we can efficiently find differential forms which generate on-shell IBP relation without doubled propagator. Various $D=4$ two-loop examples are presented.

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Yang Zhang. 2014-08-18. Integration-by-parts identities from the viewpoint of differential geometry. https://arxiv.org/abs/1408.4004

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