409 research outputs found
Ground state energy in a wormhole space-time
The ground state energy of the massive scalar field with non-conformal
coupling on the short-throat flat-space wormhole background is calculated
by using zeta renormalization approach. We discuss the renormalization and
relevant heat kernel coefficients in detail. We show that the stable
configuration of wormholes can exist for . In particular case of
massive conformal scalar field with , the radius of throat of stable
wormhole . The self-consistent wormhole has radius of throat
and mass of scalar boson ( and
are the Planck length and mass, respectively).Comment: revtex, 18 pages, 3 eps figures. accepted in Phys.Rev.
Heat kernel Coefficients and Divergencies of the Casimir Energy for the Dispersive Sphere
The first heat kernel coefficients are calculated for a dispersive ball whose
permittivity at high frequency differs from unity by inverse powers of the
frequency. The corresponding divergent part of the vacuum energy of the
electromagnetic field is given and ultraviolet divergencies are seen to be
present. Also in a model where the number of atoms is fixed the pressure
exhibits infinities. As a consequence, the ground-state energy for a dispersive
dielectric ball cannot be interpreted easily.Comment: 8 pages, Contribution to the 5th Workshop on Quantum Field Theory
under the Influence of External Conditions, Leipzig, Germany, 10-14 Sep 200
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