Ground state energy in a wormhole space-time

Abstract

The ground state energy of the massive scalar field with non-conformal coupling $\xi$ 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 $\xi >0.123$. In particular case of massive conformal scalar field with $\xi =1/6$, the radius of throat of stable wormhole $a\approx 0.16/m$. The self-consistent wormhole has radius of throat $a\approx 0.0141l_p$ and mass of scalar boson $m\approx 11.35m_p$ ($l_p$ and $m_p$ are the Planck length and mass, respectively).

revtex, 18 pages, 3 eps figures. accepted in Phys.Rev.D

References in corpus (3)

• Zeta Functions and the Casimir Energy
• Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario
• Ground State Energy of Massive Scalar Field Inside a Spherical Region in the Global Monopole Background

Cited by in corpus (27)

• Heat kernel expansion: user's manual
• Energy conditions in general relativity and quantum field theory
• Observing a wormhole
• Self sustained phantom wormholes in semi-classical gravity
• General class of vacuum Brans-Dicke wormholes
• Self-sustained traversable wormholes in noncommutative geometry
• Averaged null energy condition in spacetimes with boundaries
• Self-sustained wormholes in modified dispersion relations
• Self Sustained Traversable Wormholes?
• Exact wormhole solutions with nonminimal kinetic coupling
• Exotic solutions in General Relativity: Traversable wormholes and 'warp drive' spacetimes
• Casimir effect in a wormhole spacetime
• Wormholes supported by the kink-like configuration of a scalar field
• A self-sustained traversable scale-dependent wormhole
• Self-force of a point charge in the space-time of a symmetric wormhole
• Semiclassical wormholes
• Self sustained traversable wormholes and the equation of state
• Giant wormholes in ghost-free bigravity theory
• Zeta-function approach to Casimir energy with singular potentials
• Bubble universes and traversable wormholes
• Semiclassical long throats of the wormholes
• Casimir energy for spherical shell in Schwarzchild black hole background
• Self-action in Gravity
• Vacuum polarization of a massive scalar field in a wormhole spacetime
• Bremstrahlung in wormhole spacetime with infinitely short throat
• Scattering by a topological defect connecting two asymptotically Minkowski spacetimes
• Topological dressing method for the Einstein-Maxwell equations