UV/IR mixing as a twisted Poincaré anomaly

preprint2012arXivOpen access

Abstract

We analyze symmetries of the 1-loop effective action of ϕ^4 noncommutative field theory. It is shown, that despite the twisted Poincaré 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.

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