Physics NotePublished
Vacuum Stress Tensor of a Scalar Field in a Rectangular Waveguide
R.B. Rodrigues; N.F. Svaiter; R.D.M. De Paola
2001
Publication details
- Authors
- R.B. Rodrigues; N.F. Svaiter; R.D.M. De Paola
- Type
- Physics Note
- Status
- Published
- Publication date
- 2001
- Description
- Using the heat kernel method and the analytic continuation of the zeta function, we calculate the canonical and improved vacuum stress tensors, <math>\left\langle T_{\mu \nu }(\vec{x})\right\rangle</math> and <math>\left\langle \Theta _{\mu \nu }(\vec{x})\right\rangle</math>, 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 <math>\left\langle T_{00}(\vec{x})\right\rangle</math> and <math>\left\langle \Theta _{00 }(\vec{x})\right\rangle</math>. 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.
- Year
- 2001
- Number
- CBPF-NF-015/01
- Linked to a thesis
- No
- Linked to a grant
- No