A combinatorial approach to diffeomorphism invariant quantum gauge theories

DOI10.1063/1.532159zbMath0892.58091arXivgr-qc/9703037OpenAlexW1973160176WikidataQ62382539 ScholiaQ62382539MaRDI QIDQ4378313

José A. Zapata

Publication date: 27 July 1998

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9703037

zbMATH Keywords

quantum modelsdiffeomorphism invariant quantum gauge theorypiecewise linear graph

Mathematics Subject Classification ID

Model quantum field theories (81T10) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of global analysis to the sciences (58Z05) Quantum field theory on lattices (81T25)

Related Items (7)

Loop quantization and symmetry: configuration spaces ⋮ Loop quantum gravity ⋮ Loop quantum gravity ⋮ Kinematical Foundations of Loop Quantum Cosmology ⋮ Combinatorial space from loop quantum gravity ⋮ From Euclidean to Lorentzian loop quantum gravity via a positive complexifier ⋮ Effective theories of connections and curvature: Abelian case

Cites Work

• State sum invariants of 3-manifolds and quantum \(6j\)-symbols
• Differential geometry on the space of connections via graphs and projective limits
• Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
• Topological lattice gravity using self-dual variables
• An algebraic extension of Dirac quantization: Examples
• Outline of a generally covariant quantum field theory and a quantum theory of gravity
• Projective techniques and functional integration for gauge theories

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