A black hole toy model with non-local and boundary modes from non-trivial boundary conditions
arXiv:2302.03233 · doi:10.1140/epjc/s10052-023-11757-8
Abstract
We study gauge theories between two parallel boundaries with non-trivial boundary conditions, which serve as a toy model for black hole background with two boundaries near the horizon and infinite, aiming for a better understanding of the Bekenstein-Hawking entropy. The new set of boundary conditions allows boundary modes and non-local modes that interplay between the two boundaries. Those boundary modes and Wilson lines stretched between the two boundaries are carefully analyzed and are confirmed as physical variables in the phase space. Along with bulk fluctuation modes and topological modes, the partition function and entropy of all physical modes are evaluated via Euclidean path integral. It is shown that there are transitions between the dominance of different modes as we vary the temperature. The boundary fluctuation modes whose entropy is proportional to the volume dominate at high temperatures, and the boundary-area scaled boundary modes and Wilson lines are the more important at low temperatures. At super-low temperatures, when all the fluctuation modes die off, we see the topological modes whose entropy is the logarithm of the length scales of the system. The boundary modes and non-local modes should have their counterparts in a black hole system with similar boundary conditions, which might provide important hints for black hole physics.
arXiv comment14 pages, 4 figures, matches the published version in EPJC
References in corpus (34)
- Replica Wormholes and the Entropy of Hawking Radiation
- Soft Hair on Black Holes
- A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
- BMS supertranslations and Weinberg's soft graviton theorem
- Black Hole Entropy from Conformal Field Theory in Any Dimension
- Fermionic Localization of the Schwarzian Theory
- The Casimir Effect and the Quantum Vacuum
- Local subsystems in gauge theory and gravity
- Superrotation Charge and Supertranslation Hair on Black Holes
- Entanglement entropy of electromagnetic edge modes
- Covariant phase space with boundaries
- A Comment on Entropy and Area
- Geometric entropy and edge modes of the electromagnetic field
- Black Hole Entropy and Soft Hair
- Edge modes and corner ambiguities in 3d Chern-Simons theory and gravity
- Asymptotic symmetries of electromagnetism at spatial infinity
- Edge Dynamics from the Path Integral: Maxwell and Yang-Mills
- Gravity factorized
- Casimir effect in Yang-Mills theory
- Edge State Quantization: Vector Fields in Rindler
- Edge States in Gauge Theories: Theory, Interpretations and Predictions
- Multipole charge conservation and implications on electromagnetic radiation
- Nonperturbative Casimir effect and monopoles: compact Abelian gauge theory in two spatial dimensions
- The Casimir effect and deconfinement phase transition
- Edges and Diffractive Effects in Casimir Energies
- Soft black hole information paradox: Page curve from Maxwell soft hair of a black hole
- Black hole entropy from non-proper gauge degrees of freedom: II. The charged vacuum capacitor
- Casimir boundaries, monopoles, and deconfinement transition in 3+1 dimensional compact electrodynamics
- Strolling along gauge theory vacua
- Soft theorems in curved spacetime
- Soft gluon theorems in curved spacetime
- Replica wormhole as a vacuum-to-vacuum transition
- Gauge theories with non-trivial boundary conditions: Black holes
- Gravitons in a Casimir box