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  • 标题:A geometric approach to sector decomposition
  • 本地全文:下载
  • 作者:T. UEDA ; T. Kaneko
  • 期刊名称:PoS - Proceedings of Science
  • 印刷版ISSN:1824-8039
  • 出版年度:2010
  • 卷号:2010
  • 出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
  • 摘要:We present a non-iterative method of sector decomposition, which is used to factorise overlapping singularities from multi-dimensional integrals appearing in perturbative quantum field theory. The problem is converted to a set of ones in convex geometry, and they are solved with algorithms developed in computational geometry. A test implementation shows that this method produces less number of decomposed sectors than usual iterative sector decompositions.
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