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

Abstract

In this paper we study the dynamical generation of mass in the Lorentz-violating $C{P}^{(N-1)}$ 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.

18 pages, 4 figures

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• Meson scattering in a Lorentz-violating scalar QED at finite temperature
• Dynamical gauge symmetry breaking in lower-dimensional Lorentz-violating supersymmetric theory