Vacuum Stress Tensor of a Scalar Field in a Rectangular Waveguide

dc.creatorRodrigues, R. B.
dc.creatorSvaiter, N. F.
dc.creatorDe Paola, R. D. M.
dc.date2001-10-31
dc.date.accessioned2026-07-07T04:12:36Z
dc.date.available2026-07-07T04:12:36Z
dc.descriptionUsing the heat kernel method and the analytic continuation of the zeta function, we calculate the canonical and improved vacuum stress tensors, ${T_{μν}(\vec{x})}$ and ${Θ_{μν}(\vec{x})}$, associated with a massless scalar field confined in the interior of an infinitely long rectangular waveguide. The local depence of the renormalized energy for two special configurations when the total energy is positive and negative are presented using ${T_{00}(\vec{x})}$ and ${Θ_{00}(\vec{x})}$. From the stress tensors we obtain the local Casimir forces in all walls by introducing a particular external configuration. It is shown that this external configuration cannot give account of the edge divergences of the local forces. The local form of the forces is obtained for three special configurations.
dc.description39 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0110290
dc.identifierhttp://arxiv.org/abs/hep-th/0110290
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50956
dc.subjectHigh Energy Physics - Theory
dc.titleVacuum Stress Tensor of a Scalar Field in a Rectangular Waveguide
dc.typetext

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