1109.5137 (A. Pinzul)

UV/IR mixing as a twisted Poincaré anomaly    [PDF]

A. Pinzul

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.

View original: http://arxiv.org/abs/1109.5137