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UV/IR mixing as a twisted Poincaré anomaly

Published 23 Sep 2011 in hep-th, math-ph, and math.MP | (1109.5137v2)

Abstract: We analyze symmetries of the 1-loop effective action of \phi4 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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