Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-10-31
Physics
High Energy Physics
High Energy Physics - Theory
39 pages, 9 figures
Scientific paper
Using the heat kernel method and the analytic continuation of the zeta function, we calculate the canonical and improved vacuum stress tensors, ${T_{\mu \nu}(\vec{x})}$ and ${\Theta_{\mu \nu}(\vec{x})}$, 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 ${\Theta_{00}(\vec{x})}$. 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.
de Paola D. M. R.
Rodrigues Robson B.
Svaiter Nami F.
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