Interactions between delta-like sources and potentials

Abstract

The modified scalar boson propagator due to the presence of a hyperplane semi-transparent mirror is computed. From this, the classical interaction between static charges and the mirror is investigated employing delta-like potentials and sources. Although the calculations for hyperplane mirrors are performed in arbitrary dimensions, and in a completely general way, it is shown that the results give rise to the usual image method as a particular case. The interaction between a point-like mirror and a point-like source is also considered in $3+1$ dimensions, where a central $1/R^2$ attractive potential is also obtained as a special case.

8 pages, 1 figure

References in corpus (4)

• Functional approach to the fermionic Casimir effect
• Vacuum energies due to delta-like currents: simulating classical objects along branes with arbitrary codimensions
• On the interaction of a charge with a thin plasma sheet
• Vacuum energies and multipole interactions

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• Features of planar Lee-Wick electrodynamics
• Dirichlet boundary condition for the Lee-Wick-like scalar model
• Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics