UV/IR mixing as a twisted Poincaré anomaly

Details UV/IR mixing as a twisted Poincaré anomaly UV/IR mixing as a twisted Poincaré anomaly

2011-09-23

arxiv.org/abs/1109.5137v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 1 figure

Scientific paper

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.

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