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 (26)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• QED with minimal and nonminimal couplings: on the quantum generation of Lorentz violating terms in the pure photon sector
• Feynman propagator for the nonbirefringent CPT-even electrodynamics of the Standard Model Extension
• Gauge propagator and physical consistency of the CPT-even part of the Standard Model Extension
• Matter-gravity scattering in the presence of spontaneous Lorentz violation
• Lorentz-violating gravitoelectromagnetism
• Radiative corrections in bumblebee electrodynamics
• Optical-cavity tests of higher-order Lorentz violation
• Aspects of Quantum Corrections in a Lorentz-violating Extension of the Abelian Higgs Model
• Photon sector analysis of Super and Lorentz symmetry breaking: effective photon mass, bi-refringence and dissipation
• On the Lorentz-breaking theory with higher derivatives in spinor sector
• Magnetic flux inversion in Charged BPS vortices in a Lorentz-violating Maxwell-Higgs framework
• Generation of higher derivatives operators and electromagnetic wave propagation in a Lorentz-violation scenario
• Dimensional reduction of the CPT-even electromagnetic sector of the Standard Model Extension
• Stationary solutions for the parity-even sector of the CPT-even and Lorentz-covariance-violating term of the standard model extension
• One-loop nonbirefringent effects on the electromagnetic vertex in the Standard Model Extension
• Parity-odd and CPT-even electrodynamics of the SME at Finite Temperature
• Cosmological birefringent constraints on light
• External sources in a minimal and nonminimal CPT-odd Lorentz violating Maxwell electrodynamics
• Mirrors and field sources in a Lorentz-violating scalar field theory
• Optical-Cavity Limits on Higher-Order Lorentz Violation
• Field sources in a CPT-even Lorentz-violation Maxwell electrodynamics
• Lorentz-violating contributions to the nuclear Schiff moment and nuclear EDM
• Ambiguities of the CPT-even aether-like Lorentz-breaking term at the finite temperature
• Effective potential in Lorentz-breaking field theory models
• Triangular Ring Resonator: Direct measurement of the parity-odd parameters of the photon sector of SME