Vacuum Boundary Effects

Abstract

The effect of boundary conditions on the vacuum structure of quantum field theories is analysed from a quantum information viewpoint. In particular, we analyse the role of boundary conditions on boundary entropy and entanglement entropy. The analysis of boundary effects on massless free field theories points out the relevance of boundary conditions as a new rich source of information about the vacuum structure. In all cases the entropy does not increase along the flow from the ultraviolet to the infrared.

10 pages

References in corpus (21)

• Entanglement in quantum critical phenomena
• Topological entanglement entropy
• Detecting topological order in a ground state wave function
• Entropy and Area
• Geometric and Renormalized Entropy in Conformal Field Theory
• New Developments in the Casimir Effect
• On Geometric Entropy
• Entanglement entropy of 2D conformal quantum critical points: hearing the shape of a quantum drum
• Bipartite entanglement and entropic boundary law in lattice spin systems
• Ground state entanglement and geometric entropy in the Kitaev's model
• On the Boundary Entropy of One-dimensional Quantum Systems at Low Temperature
• Casimir effect for scalar fields under Robin boundary conditions on plates
• A Comment on Entropy and Area
• Global Theory of Quantum Boundary Conditions and Topology Change
• Fine-grained entanglement loss along renormalization group flows
• Remarks on geometric entropy
• On the energy-momentum tensor for a scalar field on manifolds with boundaries
• Casimir Effect and Global Theory of Boundary Conditions
• Exact C=1 Boundary Conformal Field Theories
• Boundary dynamics and multiple reflection expansion for Robin boundary conditions
• Vacuum Energy and Renormalization on the Edge

Cited by in corpus (17)

• Attractive and Repulsive Casimir Vacuum Energy with General Boundary Conditions
• Quantum vacuum energies and Casimir forces between partially transparent $\delta$-function plates
• Exact entanglement entropy of the XYZ model and its sine-Gordon limit
• $\delta -{\delta }^{\prime }$ generalized Robin boundary conditions and quantum vacuum fluctuations
• A simple model for the dynamical Casimir effect for a static mirror with time-dependent properties
• Fermionic Casimir effect in a field theory model with Lorentz symmetry violation
• QFT over the finite line. Heat kernel coefficients, spectral zeta functions and selfadjoint extensions
• Dirac lattices, zero-range potentials and self adjoint extension
• Point interactions with bias potentials
• Boundary Conditions as Dynamical Fields
• Quantum field theories with boundaries and novel instabilities
• Supersymmetry: Boundary Conditions and Edge States
• Diffractive Effects and General Boundary Conditions in Casimir Energy
• Boundary Effects in Quantum Physics
• Scattering data and bound states of a squeezed double-layer structure
• Aspects of Boundary Conditions for Nonabelian Gauge Theories
• Edge states and anomalous SUSY in (2+1)-dimensional Maxwell Chern-Simons theory