Magnetoelectric boundary simulated by a Chern–Simons-like model

Abstract

In this work we study some physical phenomena that emerge in the vicinity of a magnetoelectric boundary. For simplicity, we restrict to the case of a planar boundary described by a coupling between the gauge field with a planar external Chern–Simons-like potential. The results are obtained exactly. We compute the correction undergone by the photon propagator due to the presence of the Chern–Simons coupling and we investigate the interaction between a stationary point-like charge and the magnetoelectric boundary. In the limit of a perfect mirror, where the coupling constant between the field and the potential diverges, we recover the image method. For a non perfect mirror, we show that we have an attenuated image charge and, in addition, an image magnetic monopole whose field strength does not exhibit the presence of the undesirable and artificial divergences introduced by Dirac strings. We also study the interaction between the plate and a quantum particle with spin. In this case we have a kind of charge-magnetic dipole interaction due to the magnetoelectric properties of the plate.

One-dimensional scattering of fermions in double Dirac delta potentials

“…From this point one could compute E 0 by using the equation (28), and by subtracting the divergences in a similar way that the one explained in [38,68]. It can be checked in figure 3 of [44] that for heavy fermions such that ma = 10 the numerical result for the quantum vacuum interaction energy between plates is positive.…”

“…For instance, Dirac δ-functions have been set on the plates as models of the electrostatic potential [23] or to represent two finitewidth mirrors [24][25][26]. They can also be used to study interactions between semitransparent dielectric surfaces coupled to the electromagnetic field by means of an effective potential [27], as well as to analyse interactions between an atom and a mirror [28]. Furthermore, it is possible to describe the permittivity and magnetic permeability in an electromagnetic context by relating the Dirac potential to the plasma frequency in Barton's model on spherical shells [29,30].…”

On the Casimir effect from the zero-point energy: a tangential force and its properties

“…We would also like to point out here that it will be of interest to extend the tangential force to other materials which are not considered in this study, for example, partially reflective mirrors [49,50] and magnetoelectric materials [51].…”

Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics

“…On the other hand, the study of models in the presence of nontrivial boundary conditions is of great interest, with a large number of applications in several branches of physics. We can cite, for example, the use of δ-like potentials coupled to quantum fields describing semi-transparent mirrors in order to study the Casimir effect [48][49][50][51][52][53][54][55][56], the calculation of the interaction energy between point-like field sources and δ-like mirrors [57][58][59], as well as studies related to both Lee-Wick and Maxwell-Chern-Simons electrodynamics in the presence of boundary conditions [60][61][62][63][64][65]. A topic we believe still deserves more attentionare Lorentz violating theories in the presence of boundary conditions, since it could be of great interest to investigate the physical phenomena that can arise in this scenario.…”