Putting an edge to the Poisson bracket

DOI10.1063/1.1286144zbMath0984.70020arXivhep-th/9806249OpenAlexW1984143396MaRDI QIDQ2738263

Klaus Bering

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/9806249

zbMATH Keywords

Jacobi identityPoisson bracketChern-Simons theorygeneral relativityboundary termtime orderingabstract world volume manifoldHamiltonian canonical field theoryspatial edge

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

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Cites Work

• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• The Hamiltonian structure for dynamic free boundary problems
• Quantum field theory and the Jones polynomial
• Role of surface integrals in the Hamiltonian formulation of general relativity
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• Bering’s proposal for boundary contribution to the Poisson bracket
• Boundary values as Hamiltonian variables. I. New Poisson brackets
• The world as a hologram