Non-renormalizability of \theta-expanded noncommutative QED
高能物理 - 理论
2009-11-07 v2
摘要
Computing all divergent one-loop Green's functions of \theta-expanded noncommutative quantum electrodynamics up to first order in \theta, we show that this model is not renormalizable. The reason is a divergence in the electron four-point function which cannot be removed by field redefinitions. Ignoring this problem, we find however clear hints for new symmetries in massless \theta-expanded noncommutative QED: Four additional divergences which would be compatible with gauge and Lorentz symmetries and which are not reachable by field redefinitions are absent.
引用
@article{arxiv.hep-th/0112248,
title = {Non-renormalizability of \theta-expanded noncommutative QED},
author = {Raimar Wulkenhaar},
journal= {arXiv preprint arXiv:hep-th/0112248},
year = {2009}
}
备注
30 pages, LaTeX, JHEP.cls, uses the feynmf package to draw 96 Feynman graphs. v2: minor corrections, references added, adapted to JHEP style