Remarks on classical pseudo-electrodynamics

Abstract

Classical studies as the conservation laws and the radiation fields are investigated in the pseudo-electrodynamics. We explore the action symmetry under infinitesimal transformations to obtain the energy-momentum, the Belinfante-Rosenfeld, and the general angular momentum tensors for this nonlocal planar electrodynamics. Through the results such as the retarded potentials and fields generated by a point particle in an arbitrary motion, we study the radiation of an electric dipole and it radiated power in 1+2 dimensions. In addition, we propose a way to introduce magnetic monopoles in pseudo-electrodynamics, in which the solutions and conservation laws are also presented.

18 pages, no figures

References in corpus (18)

• Topological Insulators
• Topological Field Theory of Time-Reversal Invariant Insulators
• Classification of topological quantum matter with symmetries
• How to detect fluctuating order in the high-temperature superconductors
• Interactions and phase transitions on graphene's honeycomb lattice
• QED3 theory of pairing pseudogap in cuprates: From d-wave superconductor to antiferromagnet via "algebraic" Fermi liquid
• Coulomb interaction, ripples, and the minimal conductivity of graphene
• Excitonic gap, phase transition, and quantum Hall effect in graphene
• Quantum Electrodynamics of Particles on a Plane and the Chern-Simons Theory
• Unitarity of theories containing fractional powers of the d'Alembertian operator
• Coulomb instabilities of 3D higher-order topological insulators
• Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene
• Pseudo Quantum Electrodynamics and Chern-Simons theory Coupled to Two-dimensional Electrons
• Two-dimensional Yukawa interaction driven by a nonlocal-Proca quantum electrodynamics
• Screening and Topological Order in Thin Superconducting Films
• Bounded particle interactions driven by a nonlocal dual Chern-Simons model
• Hunting Down Magnetic Monopoles in 2D Topological Insulators
• Classical features, Anderson-Higgs mechanism, and unitarity in Lee-Wick pseudo-electrodynamics