UV/IR mixing as a twisted Poincar\'{e} anomaly

A. Pinzul

UV/IR mixing as a twisted Poincar\'{e} anomaly

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arxiv 1109.5137 v2 pith:73KUJNTB submitted 2011-09-23 hep-th math-phmath.MP

A. Pinzul This is my paper

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keywords actionanomalyinvarianceloopnoncommutativepoincarquantumtwisted

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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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