English

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

High Energy Physics - Theory 2008-11-26 v1

Abstract

The trace identity associated with the scale transformation xμ\toxμ=eρxμx^\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 Aμ(t,x1,x2,x3=a)=0A^\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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Cite

@article{arxiv.hep-th/0511219,
  title  = {The energy-momentum tensor,the trace identity and the Casimir effect},
  author = {S. G. Kamath},
  journal= {arXiv preprint arXiv:hep-th/0511219},
  year   = {2008}
}

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22 pages