Volume 122, Number 3, May 2018
|Number of page(s)||7|
|Section||The Physics of Elementary Particles and Fields|
|Published online||19 June 2018|
CP(N−1) model in aether-superspace
1 Universidade Federal do ABC - UFABC - Rua Santa Adélia, 166, 09210-170, Santo André, SP, Brazil
2 Indiana University Center for Spacetime Symmetries, Indiana University - Bloomington, IN 47405-7105, USA
3 Faculdade de Física, Universidade Federal do Pará - 66075-110, Belém, Pará, Brazil
Received: 23 April 2018
Accepted: 1 June 2018
In this paper we study the dynamical generation of mass in the Lorentz-violating 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 mass dynamically generated by quantum corrections has a dependence on the Lorentz-violating background properties, except for space-like 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.
PACS: 11.30.Pb – Supersymmetry / 11.30.Cp – Lorentz and Poincaré invariance / 11.10.Kk – Field theories in dimensions other than four
© EPLA, 2018
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