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Statistics and UV-IR Mixing with Twisted Poincare Invariance

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arxiv hep-th/0608179 v2 pith:TVKR53WC submitted 2006-08-25 hep-th math-phmath.MPmath.QA

A. P. Balachandran , T. R. Govindarajan , G. Mangano , A. Pinzul , B. A. Qureshi , S. Vaidya This is my paper · ORCID
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keywords twistedpoincarestatisticsmixingquantumtheoriesuv-irabsence
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We elaborate on the role of quantum statistics in twisted Poincare invariant theories. It is shown that, in order to have twisted Poincare group as the symmetry of a quantum theory, statistics must be twisted. It is also confirmed that the removal of UV-IR mixing (in the absence of gauge fields) in such theories is a natural consequence.

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  1. Bell nonlocality from twisted statistics

    quant-ph 2026-08 conditional novelty 5.0 of 10

    For a free scalar field on the Moyal plane, if the source couples to the twist-dressed field, the prepared two-particle state yields a maximal CHSH value S = 2 sqrt(1 + sin^2(chi/2)), exceeding 2 whenever the invarian...

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