Stückelberg Formulation of Holography
arXiv:1511.03525 · doi:10.1103/PhysRevD.94.084051
Abstract
We suggest that holography can be formulated in terms of the information capacity of the Stückelberg degrees of freedom that maintain gauge invariance of the theory in the presence of an information boundary. These Stückelbergs act as qubits that account for a certain fraction of quantum information. Their information capacity is measured by the ratio of the inverse Stückelberg energy gap to the size of the system. Systems with the smallest gap are maximally holographic. For massless gauge systems this information measure is universally equal to the inverse coupling evaluated at the systems' length scale. In this language it becomes very transparent why the Stückelberg information capacity of black holes saturates the Bekenstein bound and accounts for the entire information of the system. The physical reason is that the strength of quantum interaction is bounded from below by the gravitational coupling, which scales as area. Observing the striking similarity between the scalings of the energy gap of the boundary Stückelberg modes and the Bogoliubov modes of critical many-body systems, we establish a connection between holography and quantum criticality through the correspondence between these modes.
References in corpus (14)
- Black Holes and Quantumness on Macroscopic Scales
- Black holes as self-sustained quantum states, and Hawking radiation
- Topological Model for Domain Walls in (Super-)Yang-Mills Theories
- Thermal corpuscular black holes
- Nambu-Goldstone Effective Theory of Information at Quantum Criticality
- Thermal BEC black holes
- Quantum Portrait of a Black Hole with Pöschl-Teller Potential
- Localization of Gauge Fields and Monopole Tunnelling
- Large-N ground state of the Lieb-Liniger model and Yang-Mills theory on a two-sphere
- Decay of Graviton Condensates and their Generalizations in Arbitrary Dimensions
- Baryon number conservation in Bose-Einstein condensate black holes
- Black Hole Type Quantum Computing in Critical Bose-Einstein Systems
- Self-similar Evaporation and Collapse in the Quantum Portrait of Black Holes
- Photons in a Ball