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

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

2007-07-30

arxiv.org/abs/0707.4410v1

Phys.Rev.D78:025024,2008

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1103/PhysRevD.78.025024

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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