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arXiv · 1712.02650

$CP^{(N-1)}$ model in aether-superspace

A. F. Ferrari·A. C. Lehum
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Abstract

In this paper we study the dynamical generation of mass in the Lorentz-violating $CP^{(N-1)}$ model defined in two and three-dimensional aether-superspace. We show that even though the model presents a phase structure similar to the usual, Lorentz invariant case, the dynamically generated mass by quantum corrections has a dependence on the Lorentz violating background properties, except for spacelike LV vector parameter. This is to be contrasted with the behavior of the quantum electrodynamics in the two-dimensional aether-superspace, where the dynamical generation of mass was shown to exhibit an explicit dependence on the aether parameters in every possible case.

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A. F. Ferrari, A. C. Lehum. 2017-12-06. $CP^{(N-1)}$ model in aether-superspace. https://doi.org/10.1209/0295-5075/122/31001

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