Stationary solutions for the parity-even sector of the CPT-even and Lorentz-covariance-violating term of the standard model extension

• Published in: arXiv.org
• Main Authors: Casana, Rodolfo, Ferreira, Manoel M, Gomes, A R, Pinheiro, Paulo R D
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 25.06.2009
• Subjects: Covariance; Electrodynamics; Magnetic sectors; Parity; Physics - High Energy Physics - Theory; Upper bounds
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.0812.1813

In this work, we focus on some properties of the parity-even sector of the CPT-even electrodynamics of the standard model extension. We analyze how the six non-birefringent terms belonging to this sector modify the static and stationary classical solutions of the usual Maxwell theory. We observe that the parity-even terms do not couple the electric and magnetic sectors (at least in the stationary regime). The Green's method is used to obtain solutions for the field strengths E and B at first order in the Lorentz- covariance-violating parameters. Explicit solutions are attained for point-like and spatially extended sources, for which a dipolar expansion is achieved. Finally, it is presented an Earth-based experiment that can lead (in principle) to an upper bound on the anisotropic coefficients as stringent as \((\widetilde{\kappa}_{e-}) ^{ij}<2.9\times10^{-20}.\)