On entanglement entropy in non-abelian lattice gauge theory and 3D quantum gravity

DOI10.1007/JHEP11(2016)102zbMath1390.83061arXiv1609.04806MaRDI QIDQ1636514

Aldo Riello, Bianca Dittrich, Clement Delcamp

Publication date: 12 June 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04806

zbMATH Keywords

gauge symmetrymodels of quantum gravitytopological states of matter

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Methods of quantum field theory in general relativity and gravitational theory (83C47)

Related Items (19)

From 3D topological quantum field theories to 4D models with defects ⋮ Intertwiner entanglement excitation and holonomy operator ⋮ Towards a dual spin network basis for (3+1)d lattice gauge theories and topological phases ⋮ Entanglement entropy of topological orders with boundaries ⋮ Edge modes and corner ambiguities in 3d Chern-Simons theory and gravity ⋮ Excitations in strict 2-group higher gauge models of topological phases ⋮ Entanglement as the world-making relation: distance from entanglement ⋮ Fusion basis for lattice gauge theory and loop quantum gravity ⋮ Definitions of entwinement ⋮ Excitation basis for (3+1)d topological phases ⋮ Interfaces and the extended Hilbert space of Chern-Simons theory ⋮ Edge modes and surface-preserving symmetries in Einstein-Maxwell theory ⋮ Semidual Kitaev lattice model and tensor network representation ⋮ Lorentz-diffeomorphism edge modes in 3d gravity ⋮ \((3+1)\)-dimensional topological phases and self-dual quantum geometries encoded on Heegaard surfaces ⋮ Spin foam models and the Duflo map ⋮ Entanglement entropy of physical states in hypercuboidally truncated spin foam quantum gravity ⋮ Extended actions, dynamics of edge modes, and entanglement entropy ⋮ Most general theory of 3d gravity: covariant phase space, dual diffeomorphisms, and more

Cites Work

• Unnamed Item
• Unnamed Item
• The Hilbert space of 3d gravity: quantum group symmetries and observables
• Loop quantum gravity vacuum with nondegenerate geometry
• Anyons in discrete gauge theories with Chern-Simons terms
• Kitaev lattice models as a Hopf algebra gauge theory
• The observer's ghost: notes on a field space connection
• Numerical study of entanglement entropy in \(SU(2)\) lattice gauge theory
• The operator algebra of orbifold models
• Tensor product representations of the quantum double of a compact group
• A ``general boundary formulation for quantum mechanics and quantum gravity
• Local subsystems in gauge theory and gravity
• The algebra of observables in Gaußian normal spacetime coordinates
• Aspects of entanglement entropy for gauge theories
• The Fock space of loopy spin networks for quantum gravity
• Fusion basis for lattice gauge theory and loop quantum gravity
• Fault-tolerant quantum computation by anyons
• Partial and complete observables for Hamiltonian constrained systems
• Hilbert space structure in quantum gravity: an algebraic perspective
• Entanglement entropy and nonabelian gauge symmetry
• A new vacuum for loop quantum gravity
• On loop quantum gravity kinematics with a non-degenerate spatial background
• Entanglement in many-body systems
• Entanglement entropy and quantum field theory
• Three-dimensional loop quantum gravity: coupling to point particles
• Testing the master constraint programme for loop quantum gravity: I. General framework
• Testing the master constraint programme for loop quantum gravity: V. Interacting field theories
• Time evolution as refining, coarse graining and entangling
• Partial and complete observables for canonical general relativity
• A perturbative approach to Dirac observables and their spacetime algebra
• Three-dimensional loop quantum gravity: Particles and the quantum double
• Flux formulation of loop quantum gravity: classical framework
• Entanglement entropy in free quantum field theory
• Representations of the holonomy algebras of gravity and nonAbelian gauge theories
• Canonical quantization of gravitating point particles in 2+1 dimensions
• Ponzano–Regge model revisited: I. Gauge fixing, observables and interacting spinning particles
• An algebraic extension of Dirac quantization: Examples
• Fourier transform and the Verlinde formula for the quantum double of a finite group
• Gauge-invariant perturbations around symmetry-reduced sectors of general relativity: applications to cosmology
• Conformal field theory, (2 + 1)-dimensional gravity and the BTZ black hole
• Deformation operators of spin networks and coarse-graining
• Quantum groups
• Quasi Hopf algebras, group cohomology and orbifold models

This page was built for publication: On entanglement entropy in non-abelian lattice gauge theory and 3D quantum gravity