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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

In this paper we consider classical effects in a model for a scalar field incorporating Lorentz symmetry breaking due to the presence of a single background vector vμ coupled to its derivative. We investigate of the interaction energy between stationary steady sources concentrated along parallel branes with an arbitrary number of dimensions, and derive from this study some physical consequences. For the case of the scalar dipole we show the emergence of a nontrivial torque, which is a distinctive sign of the Lorentz violation. We also investigate a similar model in the presence of a semi-transparent mirror. For a general relative orientation between the mirror and the vμ, we are able to perform calculations perturbatively in vμ up to second order, and we also present exact results specific cases. For all these configurations, the propagator for the scalar field and the interaction force between the mirror and a point-like field source are computed. It is shown that the image method is valid in our model for the Dirichlet's boundary condition, and we argue that this is a non-trivial result. We also show the emergence of a torque on the mirror depending on its orientation with respect to the Lorentz violating background: this is a new effect with no counterpart in theories with Lorentz symmetry in the presence of mirrors.

UNESP Campus de Guaratinguetá DFQ, Avenida Dr. Ariberto Pereira da Cunha 333

Universidade Federal do ABC Centro de Ciências Naturais e Humanas, Rua Santa Adélia, 166

Indiana University Center for Spacetime Symmetries Indiana University

IFQ Universidade Federal de Itajubá, Av. BPS 1303, Pinheirinho, Caixa Postal 50

UNESP Campus de Guaratinguetá DFQ, Avenida Dr. Ariberto Pereira da Cunha 333

CNPq: CNPq 304134/2017-1

CNPq: CNPq 311514/2015-4

CNPq: CNPq 313978/2018-2

FAPESP: FAPESP 2016/11137-5

FAPESP: FAPESP 2017/13767-9