QED vacuum between an unusual pair of plates

Abstract

We consider the photon field between an unusual configuration of infinite parallel plates: a perfectly conducting plate $(\epsilon \to \infty )$ and an infinitely permeable one $\mu \to \infty )$. After quantizing the vector potential in the Coulomb gauge, we obtain explicit expressions for the vacuum expectation values of field operators of the form $<{\hat{E}}_i{\hat{E}}_j{>}_0$ and $<{\hat{B}}_i{\hat{B}}_j{>}_0$. These field correlators allow us to reobtain the Casimir effect for this set up and to discuss the light velocity shift caused by the presence of plates (Scharnhorst effect \cite{Scharnhorst,Barton,BarScharn}) for both scalar and spinor QED.

Latex, 16 pages, no figures

References in corpus (3)

• Precision Measurement of the Casimir Force from 0.1 to 0.9 microns
• Light Propagation in Non-Trivial QED Vacua
• Magnetic Permeability of Constrained Fermionic Vacuum

Cited by in corpus (11)

• Zeta function method and repulsive Casimir forces for an unusual pair of plates at finite temperature
• One-loop corrections to the photon propagator in the curved-space QED
• Spontaneous emission between an unusual pair of plates
• Dynamical Casimir effect with Dirichlet and Neumann boundary conditions
• Bosonic Casimir effect in external magnetic field
• Casimir effect of a Lorentz-violating scalar in magnetic field
• Thermal effects on the Casimir energy of a Lorentz-violating scalar in magnetic field
• On The Influence of Two Parallel Plates on Atomic Levels
• Magnetic field corrections to the repulsive Casimir effect at finite temperature
• Dirichlet boundary condition for the Lee-Wick-like scalar model
• Scharnhorst effect for a general two-parameter lagrangian density