Convergence Theorem for Non-commutative Feynman Graphs and Renormalization

Iouri Chepelev; Radu Roiban

doi:10.1088/1126-6708/2001/03/001

Convergence Theorem for Non-commutative Feynman Graphs and Renormalization

高能物理 - 理论 2014-11-18 v2

作者: Iouri Chepelev , Radu Roiban

在 arXiv 上查看 ↗ PDF ↗ DOI ↗

摘要

We present a rigorous proof of the convergence theorem for the Feynman graphs in arbitrary massive Euclidean quantum field theories on non-commutative R^d (NQFT). We give a detailed classification of divergent graphs in some massive NQFT and demonstrate the renormalizability of some of these theories.

关键词

quantum field theory feynman integrals renormalization in quantum field theory

引用

@article{arxiv.hep-th/0008090,
  title  = {Convergence Theorem for Non-commutative Feynman Graphs and Renormalization},
  author = {Iouri Chepelev and Radu Roiban},
  journal= {arXiv preprint arXiv:hep-th/0008090},
  year   = {2014}
}

备注

Latex, 71 pages, many postscript figures; v2: Comments on massless case added/corrected in sec.8, refs. added

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