Integration-by-parts identities from the viewpoint of differential geometry
High Energy Physics - Theory
2014-08-19 v1
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 two-loop examples are presented.
Keywords
Cite
@article{arxiv.1408.4004,
title = {Integration-by-parts identities from the viewpoint of differential geometry},
author = {Yang Zhang},
journal= {arXiv preprint arXiv:1408.4004},
year = {2014}
}
Comments
28 pages, 4 figures, based on the author's talk on Amplitudes 2014, a Claude Itzykson memorial conference