Moyal Planes are Spectral Triples

V. Gayral; J. M. Gracia-Bondía; B. Iochum; T. Schücker; J. C. Varilly

doi:10.1007/s00220-004-1057-z

Moyal Planes are Spectral Triples

高能物理 - 理论 2016-08-16 v3 算子代数

作者: V. Gayral , J. M. Gracia-Bondía , B. Iochum , T. Schücker , J. C. Varilly

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摘要

Axioms for nonunital spectral triples, extending those introduced in the unital case by Connes, are proposed. As a guide, and for the sake of their importance in noncommutative quantum field theory, the spaces $\R^{2N}$ endowed with Moyal products are intensively investigated. Some physical applications, such as the construction of noncommutative Wick monomials and the computation of the Connes--Lott functional action, are given for these noncommutative hyperplanes.

引用

@article{arxiv.hep-th/0307241,
  title  = {Moyal Planes are Spectral Triples},
  author = {V. Gayral and J. M. Gracia-Bondía and B. Iochum and T. Schücker and J. C. Varilly},
  journal= {arXiv preprint arXiv:hep-th/0307241},
  year   = {2016}
}

备注

Latex, 54 pages. Version 3 with Moyal-Wick section updated

Moyal Planes are Spectral Triples

摘要

引用

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