Casimir Energy in the Axial Gauge

Details Casimir Energy in the Axial Gauge Casimir Energy in the Axial Gauge

2000-06-28

arxiv.org/abs/hep-th/0006220v1

Phys.Rev.D62:085027,2000

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, Revtex

Scientific paper

10.1103/PhysRevD.62.085027

The zero-point energy of a conducting spherical shell is studied by imposing the axial gauge via path-integral methods, with boundary conditions on the electromagnetic potential and ghost fields. The coupled modes are then found to be the temporal and longitudinal modes for the Maxwell field. The resulting system can be decoupled by studying a fourth-order differential equation with boundary conditions on longitudinal modes and their second derivatives. The exact solution of such equation is found by using a Green-function method, and is obtained from Bessel functions and definite integrals involving Bessel functions. Complete agreement with a previous path-integral analysis in the Lorenz gauge, and with Boyer's value, is proved in detail.

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