QUANTUM CANONICAL TENSOR MODEL AND AN EXACT WAVE FUNCTION

DOI10.1142/S0217751X1350111XzbMath1277.83042arXiv1305.6389MaRDI QIDQ2866869

Naoki Sasakura

Publication date: 9 December 2013

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6389

zbMATH Keywords

quantum gravitygeneral relativitytensor modelsfuzzy spacesWheeler-DeWitt equationsHamilton formalism

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Quantization of the gravitational field (83C45) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items

Constraint algebra of general relativity from a formal continuum limit of canonical tensor model ⋮ Mother canonical tensor model ⋮ Tensors and algebras: an algebraic spacetime interpretation for tensor models ⋮ Interpreting canonical tensor model in minisuperspace

Cites Work

• Colored group field theory
• A matrix model for 2D quantum gravity defined by causal dynamical triangulations
• Geometrodynamics regained
• A renormalizable 4-dimensional tensor field theory
• Partial and complete observables for Hamiltonian constrained systems
• Group field theory: an overview
• TENSOR MODEL FOR GRAVITY AND ORIENTABILITY OF MANIFOLD
• THREE-DIMENSIONAL SIMPLICIAL QUANTUM GRAVITY AND GENERALIZED MATRIX MODELS
• A MODEL OF THREE-DIMENSIONAL LATTICE GRAVITY
• TOPOLOGICAL LATTICE MODELS IN FOUR DIMENSIONS
• Feynman diagrams of generalized matrix models and the associated manifolds in dimension four
• Tensor models and 3-ary algebras
• Multi-orientable group field theory
• CANONICAL TENSOR MODELS WITH LOCAL TIME
• Generalized Hamiltonian dynamics
• The theory of gravitation in Hamiltonian form
• Reduced phase space quantization and Dirac observables
• Partial and complete observables for canonical general relativity
• THE LOWEST MODES AROUND GAUSSIAN SOLUTIONS OF TENSOR MODELS AND THE GENERAL RELATIVITY
• Quantum effects in cosmology
• UNIQUENESS OF CANONICAL TENSOR MODEL WITH LOCAL TIME
• AN INVARIANT APPROACH TO DYNAMICAL FUZZY SPACES WITH A THREE-INDEX VARIABLE
• Quantum Theory of Gravity. I. The Canonical Theory
• Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space