The Dirichlet Casimir problem

DOI10.1016/j.nuclphysb.2003.11.001zbMath1065.81090arXivhep-th/0309130OpenAlexW2051927835WikidataQ59277069 ScholiaQ59277069MaRDI QIDQ1418090

D. Massart

Publication date: 6 January 2004

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0309130

zbMATH Keywords

boundary conditionsvacuum polarization energyrenormalizable continuum quantum field theory

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13)

Related Items (23)

Casimir effect due to a single boundary as a manifestation of the Weyl problem ⋮ Three-dimensional Casimir piston for massive scalar fields ⋮ Casimir stress in an inhomogeneous medium ⋮ The covariant electromagnetic Casimir effect for real conducting spherical shells ⋮ Casimir effects: an optical approach. I: Foundations and examples ⋮ Polarization of vacuum with nontrivial boundary conditions ⋮ One-loop correction to the Casimir energy in Lifshitz-like theory ⋮ Attractive and repulsive Casimir vacuum energy with general boundary conditions ⋮ Casimir effect in \((2+1)\)-dimensional noncommutative theories ⋮ Casimir energy for a purely dielectric cylinder by the mode summation method ⋮ Recent Developments in Quantum Vacuum Energy for Confined Fields ⋮ The Casimir effect for fields with arbitrary spin ⋮ Worldline formalism for a confined scalar field ⋮ The covariant electromagnetic Casimir effect for real conducting cylindrical shells ⋮ Attractive electromagnetic Casimir stress on a spherical dielectric shell ⋮ The Casimir effect in the presence of infrared transparency ⋮ SLAB BAG FERMIONIC CASIMIR EFFECT, CHIRAL BOUNDARIES AND VECTOR BOSON — MAJORANA FERMION PISTONS ⋮ How does Casimir energy fall? ⋮ CASIMIR PISTONS FOR MASSIVE SCALAR FIELDS ⋮ FIELD OF HOMOGENEOUS PLANE IN QUANTUM ELECTRODYNAMICS ⋮ CASIMIR PISTONS WITH CURVED BOUNDARIES ⋮ Casimir energy for a dielectric cylinder ⋮ ON THE PROBLEM OF VACUUM ENERGY IN FLRW UNIVERSES AND DARK ENERGY

Cites Work

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• Calculating vacuum energies in renormalizable quantum field theories: A new approach to the Casimir problem
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• Finite energy sum rules in potential scattering
• Perturbative Casimir energies of dispersive spheres, cubes and cylinders
• CASIMIR EFFECTS IN RENORMALIZABLE QUANTUM FIELD THEORIES
• The Influence of Retardation on the London-van der Waals Forces
• Derivative expansion and soliton masses
• New developments in the Casimir effect

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