scientific article; zbMATH DE number 2242439

zbMath1159.81006MaRDI QIDQ5714288

Robert Oeckl

Publication date: 29 December 2005

Full work available at URL: http://ebooks.worldscinet.com/ISBN/9781860947377/toc.shtml

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zbMATH Keywords

Hopf algebrasquantum gravitypath integralsquantum groupstopological quantum field theorieslattice gauge theoriesspin networkscellular decompositions

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization of the gravitational field (83C45) Path integrals in quantum mechanics (81S40) Quantum field theory on lattices (81T25) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Topological field theories in quantum mechanics (81T45) Dynamical aspects of cellular automata (37B15)

Related Items (11)

Haag duality for Kitaev’s quantum double model for abelian groups ⋮ A gauge-independent mechanism for confinement and mass gap. I: The general framework ⋮ On piecewise linear cell decompositions ⋮ Electric-magnetic duality of lattice systems with topological order ⋮ Higher lattices, discrete two-dimensional holonomy and topological phases in (3 + 1)D with higher gauge symmetry ⋮ Observables in 3d spinfoam quantum gravity with fermions ⋮ The length operator in loop quantum gravity ⋮ A dual non-Abelian Yang-Mills amplitude in four dimensions ⋮ Kitaev’s Quantum Double Model from a Local Quantum Physics Point of View ⋮ Discrete Dynamics: Gauge Invariance and Quantization ⋮ The spin-foam approach to quantum gravity

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