Vacuum polarization induced by a cylindrical boundary in the cosmic string spacetime
arXiv:hep-th/0605231 · doi:10.1103/PhysRevD.74.025017
Abstract
In this paper we investigate the Wightman function, the renormalized vacuum expectation values of the field square, and the energy-momentum tensor for a massive scalar field with general curvature coupling inside and outside of a cylindrical shell in the generalized spacetime of straight cosmic string. For the general case of Robin boundary condition, by using the generalized Abel-Plana formula, the vacuum expectation values are presented in the form of the sum of boundary-free and boundary-induced parts. The asymptotic behavior of the vacuum expectation values of the field square, energy density and stresses are investigated in various limiting cases. The generalization of the results to the exterior region is given for a general cylindrically symmetric static model of the string core with finite support.
21 pages, 5 figures
References in corpus (24)
- New Developments in the Casimir Effect
- Cosmic String Production Towards the End of Brane Inflation
- Cosmic F- and D-strings
- Formation and evolution of cosmic D-strings
- The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect
- Free and self-interacting scalar fields in the presence of conical singularities
- The Heat Kernel Expansion on a Cone and Quantum Fields Near Cosmic Strings
- Bulk Casimir densities and vacuum interaction forces in higher dimensional brane models
- Ground State Energy of Massive Scalar Field in the Background of Finite Thickness Cosmic String
- Quantum effects near a point mass in 2+1 dimensional gravity
- Wightman function and vacuum fluctuations in higher dimensional brane models
- Long Range Effects of Cosmic String Structure
- Vacuum densities and zero-point energy for fields obeying Robin conditions on cylindrical surfaces
- Vacuum Expectation Value of the Spinor Massive field in the Cosmic String Space-Time
- Massive quantum fields in a conical background
- Gravity of Monopole and String and Gravitational Constant in 3He-A
- Vacuum Fluctuations of a massless spin-1/2 field around multiple cosmic strings
- Fluctuations in the current and energy densities around a magnetic flux carrying cosmic string
- Vacuum Polarization of a Charged Massless Scalar Field on Cosmic String Spacetime in the Presence of a Magnetic Field
- Quantum aspects of self-interacting fields around cosmic strings
- Massive scalar field near a cosmic string
- Euclidean thermal spinor Green's function in the spacetime of a straight cosmic string
- Vacuum Polarization at Finite Temperature around a Magnetic Flux Cosmic String
- Vacuum polarization near cosmic string in RS2 brane world
Cited by in corpus (52)
- The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect
- Electromagnetic Casimir densities induced by a conducting cylindrical shell in the cosmic string spacetime
- Fermionic current densities induced by magnetic flux in a conical space with a circular boundary
- Fermionic vacuum polarization by a cylindrical boundary in the cosmic string spacetime
- Vacuum currents induced by a magnetic flux around a cosmic string with finite core
- Fermionic condensate in a conical space with a circular boundary and magnetic flux
- Spinor Green function in higher-dimensional cosmic string space-time in the presence of magnetic flux
- Fermionic current induced by magnetic flux in compactified cosmic string spacetime
- Fermionic vacuum polarization in compactified cosmic string spacetime
- Topological Casimir effect in compactified cosmic string spacetime
- Induced fermionic current densities by magnetic flux in higher dimensional cosmic string spacetime
- Fermionic vacuum polarization by a composite topological defect in higher-dimensional space-time
- Polarization of the fermionic vacuum by a global monopole with finite core
- Vacuum polarization by a flat boundary in cosmic string spacetime
- Repulsive Casimir-Polder forces from cosmic strings
- Vacuum polarization induced by a cosmic string in anti-de Sitter spacetime
- Fermionic Casimir densities in a conical space with a circular boundary and magnetic flux
- Casimir effect for parallel metallic plates in cosmic string spacetime
- Electromagnetic Casimir densities for a wedge with a coaxial cylindrical shell
- Vacuum polarization in high-dimensional AdS spacetime in the presence of a cosmic string and compactified extra dimension
- Fermionic vacuum polarization by a cosmic string in anti-de Sitter spacetime
- Casimir-Polder interaction between an atom and a conducting wall in cosmic string spacetime
- Induced fermionic current by a magnetic tube in the cosmic spacetime
- Fermionic vacuum polarization by a flat boundary in cosmic string spacetime
- Wightman function and vacuum densities for a Z_2-symmetric thick brane in AdS spacetime
- Casimir densities from coexisting vacua
- Induced fermionic currents in de Sitter spacetime in the presence of a compactified cosmic string
- Scalar Casimir effect in a high-dimensional cosmic dispiration spacetime
- Vacuum polarization by a composite topological defect
- Vacuum energy in conical space with additional boundary conditions
- Casimir-Polder potential for a metallic cylinder in cosmic string spacetime
- Casimir interaction of finite-width strings
- Vacuum polarization by a global monopole with finite core
- Perturbative zero-point energy for a cylinder of elliptical section
- Fermionic vacuum polarization around a cosmic string in compactified AdS spacetime
- Finite temperature fermionic condensate in a conical space with a circular boundary and magnetic flux
- Wightman function and scalar Casimir densities for a wedge with two cylindrical boundaries
- Electromagnetic vacuum fluctuations around a cosmic string in de Sitter spacetime
- Semiclassical backreaction around a nearly spinning cosmic string
- Scalar Casimir densities and forces for parallel plates in cosmic string spacetime
- Fermionic condensate and the Casimir effect in cosmic string spacetime
- Casimir effect in hemisphere capped tubes
- Scalar Casimir densities induced by a cylindrical shell in de Sitter spacetime
- Summation formula over the zeros of the associated Legendre function with a physical application
- Vacuum polarization in a cosmic string spacetime induced by flat boundary
- Vacuum densities for a thick brane in AdS spacetime
- Azimuthal fermionic current in the cosmic string spacetime induced by a magnetic tube
- Magnetic Brane of Cubic Quasi-Topological Gravity in the Presence of Maxwell and Born-Infeld Electromagnetic Field
- Electromagnetic vacuum densities induced by a cosmic string
- Vacuum effects induced by a plate in de Sitter spacetime in the presence of a cosmic string
- Finite temperature fermionic condensate and energy-momentum tensor in cosmic string spacetime
- Electromagnetic vacuum stresses and energy fluxes induced by a cosmic string in de Sitter spacetime