New point-like sources and a conducting surface in Maxwell-Chern-Simons electrodynamics

Abstract

We investigate some aspects of the Maxwell-Chern-Simons electrodynamics focusing on physical effects produced by the presence of stationary sources and a perfectly conducting plate (mirror). Specifically, in addition to point charges, we propose two new types of point-like sources called topological source and Dirac point, and we also consider physical effects in various configurations that involve them. We show that the Dirac point is the source of the vortex field configurations. The propagator of the gauge field due to the presence of a conducting plate and the interaction forces between the plate and point-like sources are computed. It is shown that the image method is valid for the point-like charges as well as for Dirac points. For the topological source we show that the image method is not valid and the symmetry of spatial refection on the mirror is broken. In all setups considered, it is shown that the topological source leads to the emergence of torques.

arXiv comment17 Latex pages, 7 figures

References in corpus (44)

• Seeing the magnetic monopole through the mirror of topological surface states
• Lorentz-Violating Electrostatics and Magnetostatics
• Electric-Magnetic Duality and Topological Insulators
• Vortices in (abelian) Chern-Simons gauge theory
• Interlayer fractional quantum Hall effect in a coupled graphene double-layer
• Aspects of Chern-Simons Theory
• The Casimir Force in Randall Sundrum Models
• Green's function approach to Chern-Simons extended electrodynamics: an effective theory describing topological insulators
• Local effects of the quantum vacuum in Lorentz-violating electrodynamics
• Absence of Higher Order Corrections to Noncommutative Chern-Simons Coupling
• Casimir effect within D=3+1 Maxwell-Chern-Simons electrodynamics
• Electro and magneto statics of topological insulators as modeled by planar, spherical and cylindrical $\theta$ boundaries: Green function approach
• A Note on Noncommutative Chern-Simons Theories
• A Green's function approach to the Casimir effect on topological insulators with planar symmetry
• The quest for Casimir repulsion between Chern-Simons surfaces
• Electromagnetic description of three-dimensional time-reversal invariant ponderable topological insulators
• One-loop Shift in Noncommutative Chern-Simons Coupling
• External Sources in Lee-Wick Theories
• Mixing of spin and orbital angular momenta via second-harmonic generation in plasmonic and dielectric chiral nanostructures
• Field sources in a Lorentz symmetry breaking scenario with a single background vector
• Massive Dirac fermions and the zero field quantum Hall effect
• Vacuum energies due to delta-like currents: simulating classical objects along branes with arbitrary codimensions
• A Conducting surface in Lee-Wick electrodynamics
• Maxwell-Chern-Simons Theory With Boundary
• New effects in the interaction between electromagnetic sources mediated by nonminimal Lorentz violating interactions
• Field theoretic description of partially reflective surfaces
• Comments on the Chern-Simons photon term in the QED description of graphene
• Vacuum energies and multipole interactions
• Effects of the fermionic vacuum polarization in QED
• Charged branes interactions via Kalb-Ramond field
• Gauge Covariance Relations and the Fermion Propagator in Maxwell-Chern-Simons QED3
• Symanzik's Method Applied To The Fractional Quantum Hall Edge States
• The effect of a Chern-Simons term on dynamical gap generation in graphene
• Electron-polaron--electron-polaron bound states in mass-gap graphene-like planar quantum electrodynamics: $s$-wave bipolarons
• Induced Parity Violation in Odd Dimensions
• Casimir Effect for Gauge Scalars: The Kalb-Ramond Case
• Field sources in a CPT-even Lorentz-violation Maxwell electrodynamics
• Abelian Chern-Simons Theory for the Fractional Quantum Hall Effect in Graphene
• Casimir force due to condensed vortices in a plane
• Dynamical Mass Generation and Confinement in Maxwell-Chern-Simons Planar Quantum Electrodynamics
• Off-shell Green functions at one-loop level in Maxwell-Chern-Simons quantum electrodynamics
• Dynamical mass generation of a two-component fermion in Maxwell-Chern-Simons QED_3: The lowest ladder approximation
• Quantum dissipation of planar harmonic systems: Maxwell-Chern-Simons theory
• Randall-Sundrum brane universe as a ground state for Chern-Simons gravity

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• Material boundaries in Carroll-Field-Jackiw Lorentz-violating electrodynamics
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