The energy-momentum tensor,the trace identity and the Casimir effect

Details The energy-momentum tensor,the trace identity and the Casimir effect The energy-momentum tensor,the trace identity and the Casimir effect

2005-11-22

arxiv.org/abs/hep-th/0511219v1

Pramana66:345-360,2006

Physics

High Energy Physics

High Energy Physics - Theory

22 pages

Scientific paper

10.1007/BF02704389

The trace identity associated with the scale transformation $x^\mu\tox'{}^\mu = e^{-\rho}x^\mu$ on the Lagrangian density for the noninteracting electromagnetic field in the covariant gauge is shown to be violated on a single plate on which the Dirichlet boundary condition $A^\mu(t,x^1,x^2,x^3=-a) = 0$ is imposed.It is however respected in free space,i.e. in the absence of the plate; these results reinforce our assertions in an earlier paper where the same exercise was carried out using the Lagrangian density for the free,massive,real scalar field in 2 + 1 dimensions.

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