Covariant canonical formalism for four-dimensional BF theory

DOI10.1063/1.2161805zbMath1111.81136arXivgr-qc/0402041OpenAlexW3103265963MaRDI QIDQ3441597

Merced Montesinos, Mauricio Mondragón

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0402041

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Topological field theories in quantum mechanics (81T45) Variational problems in infinite-dimensional spaces (58E99)

Related Items (14)

Geometric Lagrangian approach to the physical degree of freedom count in field theory ⋮ Edge modes of gravity. I: Corner potentials and charges ⋮ Edge modes of gravity. II: Corner metric and Lorentz charges ⋮ Lagrangian approach to the physical degree of freedom count ⋮ Faddeev-Jackiw quantization of four dimensional BF theory ⋮ Hamiltonian study for Chern-Simons and Pontryagin theories ⋮ Covariant canonical method for Yang-Mills theory expressed as a constrained BF-like theory ⋮ Spin jumping in the context of a QCD effective model ⋮ Perturbative BF theory ⋮ Hamiltonian dynamics of an exotic action for gravity in three dimensions ⋮ Covariant momentum map for non-Abelian topological BF field theory ⋮ Hamiltonian and Noether charges in first order gravity ⋮ Hamiltonian dynamics for Einstein's action in \(G\rightarrow 0\) limit ⋮ A PURE DIRAC'S CANONICAL ANALYSIS FOR FOUR-DIMENSIONAL BF THEORIES

Cites Work

• Wilson loops and topological phases in closed string theory
• Exactly soluble diffeomorphism invariant theories
• BF gravity and the Immirzi parameter
• Self-dual gravity with topological terms
• Symplectic quantization, inequivalent quantum theories, and Heisenberg’s principle of uncertainty
• COVARIANT DESCRIPTION OF PARAMETRIZED NONRELATIVISTIC HAMILTONIAN SYSTEMS
• Local symmetries and constraints
• A conserved current for perturbations of Einstein-Maxwell space-times
• Noether currents for BF gravity
• so (4) Plebanski action and relativistic spin-foam model
• The Euler characteristic and the first Chern number in the covariant phase space formulation of string theory

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