The energy—momentum tensor, the trace identity and the Casimir effect
The trace identity associated with the scale transformation xΜ → x′Μ = e-ρxΜ on the Lagrangian density for the noninteracting electromagnetic field in the co-variant gauge is shown to be violated on a single plate on which the Dirichlet boundary conditionAΜ(t, x1, x2, x3 = -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.
Volume 94, 2020
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