Eur. Phys. J. C (2015) 75: 410
https://doi.org/10.1140/epjc/s10052-015-3640-1

Regular Article - Theoretical Physics

Lorentz symmetry breaking effects on relativistic EPR correlations

¹ Departamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 514, Goiabeiras, Vitoria, ES, 29060-900, Brazil
² Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, PB, 58051-970, Brazil

^* e-mail: kbakke@fisica.ufpb.br

Received: 25 April 2015
Accepted: 18 August 2015
Published online: 9 September 2015

Abstract

Lorentz symmetry breaking effects on relativistic EPR (Einstein–Podolsky–Rosen) correlations are discussed. From the modified Maxwell theory coupled to gravity, we establish a possible scenario of the Lorentz symmetry violation and write an effective metric for the Minkowski spacetime. Then we obtain the Wigner rotation angle via the Fermi–Walker transport of spinors and consider the WKB (Wentzel–Kramers–Brillouin) approximation in order to study the influence of Lorentz symmetry breaking effects on the relativistic EPR correlations.