Boundary Conditions as Dynamical Fields

Abstract

The possibility of treating boundary conditions in terms of a bilocal dynamical field is formalized in terms of a boundary action. This allows for a simple path-integral perturbation theory approach to physical effects such as radiation from a time-dependent boundary. The nature of the action which governs the dynamics of the bilocal field is investigated for a limited case (which includes the Robin boundary conditions).

15 pages

References in corpus (10)

• The dynamical Casimir effect in superconducting microwave circuits
• Casimir Effect and Global Theory of Boundary Conditions
• Recent Developments in the Casimir Effect
• Casimir effect for the scalar field under Robin boundary conditions: A functional integral approach
• Vacuum Boundary Effects
• Vacuum Energy and Renormalization on the Edge
• On the Casimir interaction between holes
• Quantum field theories with boundaries and novel instabilities
• Relativistic bands in the spectrum of created particles via dynamical Casimir effect
• Fermionic edge states and new physics

Cited by in corpus (7)

• Covariant fracton gauge theory with boundary
• The Casimir energy in terms of boundary quantum field theory: the QED case
• Quantum field theory with dynamical boundary conditions and the Casimir effect: Coherent states
• Holographic Projection of Electromagnetic Maxwell Theory
• Conserved chiral currents on the boundary of 3D Maxwell theory
• Topologically protected duality on the boundary of Maxwell-BF theory
• A short review of the Casimir effect with emphasis on dynamical boundary conditions