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  • 标题:No-go theorem of Leibniz rule and supersymmetry on the lattice
  • 本地全文:下载
  • 作者:M. Sakamoto ; M. Kato ; H. So
  • 期刊名称:PoS - Proceedings of Science
  • 印刷版ISSN:1824-8039
  • 出版年度:2008
  • 卷号:2008
  • 出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
  • 摘要:An obstacle to realize supersymmetry on a lattice is the breakdown of Leibniz rule. We give a proof of a no-go theorem that it is impossible to construct a lattice field theory in an infinite lattice volume with any nontrivial field products and difference operators that satisfy the following three properties: (i) translation invariance, (ii) locality and (iii) Leibniz rule. We then propose a way to escape from the no-go theorem by introducing infinite flavors, and present a lattice model of N = 2 supersymmetric quantum mechanics equipped with the full exact supersymmetry.
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