Classical solutions for the Lorentz-violating and CPT-even term of the Standard Model Extension

Abstract

In this work, we calculate the classical solutions for the electrodynamics stemming from the Lorentz-violating (LV) and CPT-even term of the Standard Model Extension. The solutions for point-like and extended charges are obtained from the wave equations by means of the Green method. A dipolar expansion is written for the field strengths. It is explicitly shown that charge and current generate first order effects for the magnetic and electric fields, respectively. Using the magnetic field generated by a macroscopic 1C charged sphere, we establish a stringent bound for the LV parameter:$\kappa \le 10^{-16}.$

revtex style, 9 pages

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Cited by in corpus (8)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Feynman propagator for the nonbirefringent CPT-even electrodynamics of the Standard Model Extension
• Optical-cavity tests of higher-order Lorentz violation
• Magnetic flux inversion in Charged BPS vortices in a Lorentz-violating Maxwell-Higgs framework
• Stationary solutions for the parity-even sector of the CPT-even and Lorentz-covariance-violating term of the standard model extension
• Cosmological birefringent constraints on light
• Field sources in a CPT-even Lorentz-violation Maxwell electrodynamics
• Ambiguities of the CPT-even aether-like Lorentz-breaking term at the finite temperature