Radiative Corrections to the Casimir Energy

Details Radiative Corrections to the Casimir Energy Radiative Corrections to the Casimir Energy

1997-03-12

arxiv.org/abs/quant-ph/9703019v1

Phys.Rev.Lett. 79 (1997) 545-548

Physics

Quantum Physics

7 pages, Latex

Scientific paper

10.1103/PhysRevLett.79.545

The lowest radiative correction to the Casimir energy density between two parallel plates is calculated using effective field theory. Since the correlators of the electromagnetic field diverge near the plates, the regularized energy density is also divergent. However, the regularized integral of the energy density is finite and varies with the plate separation L as 1/L^7. This apparently paradoxical situation is analyzed in an equivalent, but more transparent theory of a massless scalar field in 1+1 dimensions confined to a line element of length L and satisfying Dirichlet boundary conditions.

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