On the Scalar Casimir Energies in Spacetimes with <math>Md × Tq</math> Structure

Physics NotePublished

On the Scalar Casimir Energies in Spacetimes with $<math>M^{d} \times T^{q}</math>$ Structure

F. Caruso; Nelson Pinto Neto; B.F. Svaiter; Nami Fux Svaiter

1990

Authors: F. Caruso; Nelson Pinto Neto; B.F. Svaiter; Nami Fux Svaiter
Type: Physics Note
Status: Published
Publication date: 1990
Description: The Casimir energy density of a scalar field quantized in a <math>M^{d} \times T^{q}\,\!</math> spacetime is calculated. The field is supposed to satisfy Dirichlet and periodic boundary conditions in the (<math>d-1)-\,\!</math> and q-dimensional submanifolds, respectively. On account of this non-trivial topology, the sign of the Casimir energy is shown to have the same peculiar and entangled dependence on the number of finite sides of the hyperparallelepipedal cavity and on the spacetime dimension, with only one exception which is discussed.
Year: 1990
Number: CBPF-NF-037/90
Linked to a thesis: No
Linked to a grant: No