UV/IR mixing as a twisted Poincaré anomaly
arXiv:1109.5137 · doi:10.1088/1751-8113/45/7/075401
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.
14 pages, 1 figure, references and minor clarifications added. To match the version published in J.Phys.A
References in corpus (13)
- A translation-invariant renormalizable non-commutative scalar model
- Twist and Spin-Statistics Relation in Noncommutative Quantum Field Theory
- Remarks on twisted noncommutative quantum field theory
- Quantum Fields on the Groenewold-Moyal Plane
- Twisted Gauge and Gravity Theories on the Groenewold-Moyal Plane
- Twisted Poincaré Invariant Quantum Field Theories
- Braided quantum field theories and their symmetries
- Twisted Hopf symmetries of canonical noncommutative spacetimes and the no-pure-boost principle
- Dynamical noncommutativity and Noether theorem in twisted phi^*4 theory
- Twisted Poincare Invariance, Noncommutative Gauge Theories and UV-IR Mixing
- Light Propagation in a Background Field for Time-Space Noncommutativity and Axionic Noncommutative QED
- Non-commutative Quantum Mechanics in Three Dimensions and Rotational Symmetry
- Thermofield Dynamics for Twisted Poincare-Invariant Field Theories: Wick Theorem and S-matrix
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