UV/IR mixing in noncommutative scalar field theories is shown to be an artifact of a non-covariant quantization choice rather than an intrinsic feature of noncommutativity.
Braided Quantum Electrodynam- ics
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Standard BV quantization of φ³ on λ-Minkowski space produces two inequivalent classes of four-point diagrams with distinct noncommutative contributions, while braided quantization yields one class whose noncommutativity appears only as an overall phase factor in the external momenta.
Two inequivalent noncommutative QFTs are built on λ-Minkowski space: a braided version with logarithmic UV divergences and no UV/IR mixing, and a standard version with periodic UV/IR mixing where non-planar correlators are UV-finite but non-analytic at exceptional momenta.
citing papers explorer
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UV/IR mixing as an artifact of non-covariant quantisation
UV/IR mixing in noncommutative scalar field theories is shown to be an artifact of a non-covariant quantization choice rather than an intrinsic feature of noncommutativity.
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BV quantization of $\phi^3$-theory on $\lambda$-Minkowski space: Tree-level correlation functions
Standard BV quantization of φ³ on λ-Minkowski space produces two inequivalent classes of four-point diagrams with distinct noncommutative contributions, while braided quantization yields one class whose noncommutativity appears only as an overall phase factor in the external momenta.
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Batalin-Vilkovisky quantization with an angular twist
Two inequivalent noncommutative QFTs are built on λ-Minkowski space: a braided version with logarithmic UV divergences and no UV/IR mixing, and a standard version with periodic UV/IR mixing where non-planar correlators are UV-finite but non-analytic at exceptional momenta.