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UV/IR mixing as a twisted Poincar\'{e} anomaly
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UV/IR mixing as a twisted Poincar\'{e} anomaly
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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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Cited by 1 Pith paper
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On a non-geometric approach to noncommutative gauge theories
A non-geometric bootstrap on the Moyal plane produces noncommutative gauge theories and derives the U(N) fundamental restriction from the requirement that the conserved non-local current be Lie algebra valued.
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