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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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.
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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.