Four-dimensional lattice gauge theory with ribbon categories and the Crane–Yetter state sum

DOI10.1063/1.1398063zbMath1009.81034arXivhep-th/0106029OpenAlexW3102203378MaRDI QIDQ2774726

Hendryk Pfeiffer

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0106029

zbMATH Keywords

gauge grouptopological quantum field theoryspin foam modelYang-Mills theory on a lattice

Mathematics Subject Classification ID

Related Items (2)

Higher gauge theory and a non-abelian generalization of 2-form electrodynamics. ⋮ Generalized lattice gauge theory, spin foams and state sum invariants

Cites Work

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• Hierarchies of invariant spin models
• Ribbon graphs and their invariants derived from quantum groups
• TOPOLOGICAL LATTICE MODELS IN FOUR DIMENSIONS
• q-DEFORMED LATTICE GAUGE THEORY AND 3-MANIFOLD INVARIANTS
• Relativistic spin networks and quantum gravity
• State-Sum Invariants of 4-Manifolds
• Spin foam models
• Invariants of piecewise-linear 3-manifolds
• The dual of pure non-Abelian lattice gauge theory as a spin foam model

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