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On the role of twisted statistics in the noncommutative degenerate electron gas

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arxiv 0707.4410 v1 pith:CAIKI72H submitted 2007-07-30 hep-th

classification hep-th
keywords twistedstatisticscorrectionsdegenerateelectronenergyaccountalready
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We consider the problem of a degenerate electron gas in the background of a uniformly distributed positive charge, ensuring overall neutrality of the system, in the presence of non-commutativity. In contrast to previous calculations that did not include twisted statistics, we find corrections to the ground state energy already at first order in perturbation theory when the twisted statistics is taken into account. These corrections arise since the interaction energy is sensitive to two particle correlations, which are modified for twisted anti-commutation relations.

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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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