UV/IR mixing as a twisted Poincar\'{e} anomaly
High Energy Physics - Theory
2012-11-01 v2 Mathematical Physics
math.MP
Abstract
We analyze symmetries of the 1-loop effective action of \phi^4 noncommutative field theory. It is shown, that despite the twisted Poincar\'{e} invariance of the classical noncommutative action, its 1-loop quantum counterpart lacks this invariance. Though Noether analysis of the model is somewhat obscure, it is still possible to interpret this symmetry breaking as a quantum anomaly due to inappropriate choice of the quantization method.
Cite
@article{arxiv.1109.5137,
title = {UV/IR mixing as a twisted Poincar\'{e} anomaly},
author = {A. Pinzul},
journal= {arXiv preprint arXiv:1109.5137},
year = {2012}
}
Comments
14 pages, 1 figure, references and minor clarifications added. To match the version published in J.Phys.A