Hamiltonian study for Chern-Simons and Pontryagin theories

DOI10.1016/J.AOP.2010.09.004zbMath1208.81182arXiv1107.4023OpenAlexW1996729799MaRDI QIDQ627647

Alberto Escalante, Leopoldo Carbajal

Publication date: 3 March 2011

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

Full work available at URL: https://arxiv.org/abs/1107.4023

zbMATH Keywords

Hamiltonian dynamicstopological theories

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Topological field theories in quantum mechanics (81T45) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Eta-invariants, Chern-Simons invariants (58J28) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (11)

Hamiltonian dynamics and gauge symmetry for three-dimensional Palatini theory with cosmological constant ⋮ Dirac's and generalized Faddeev-Jackiw brackets for Einstein's theory in the \(G\to 0\) limit ⋮ Discrete canonical analysis of three-dimensional gravity with cosmological constant ⋮ Faddeev-Jackiw quantization of four dimensional BF theory ⋮ The Hamilton-Jacobi characteristic equations for topological invariants: Pontryagin and Euler classes ⋮ Hamiltonian dynamics of an exotic action for gravity in three dimensions ⋮ Faddeev-Jackiw quantization of topological invariants: Euler and Pontryagin classes ⋮ Faddeev-Jackiw quantization of an abelian and non-abelian exotic action for gravity in three dimensions ⋮ Canonical and symplectic analysis for three dimensional gravity without dynamics ⋮ A PURE DIRAC'S METHOD FOR HUSAIN–KUCHAR THEORY ⋮ A PURE DIRAC'S CANONICAL ANALYSIS FOR FOUR-DIMENSIONAL BF THEORIES

Cites Work

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• The kodama state for topological quantum field theory beyond instantons
• \(2+1\)-dimensional gravity as an exactly soluble system
• Hamiltonian dynamics for Einstein's action in \(G\rightarrow 0\) limit
• A quantum field theoretic description of linking numbers and their generalization
• Exactly soluble diffeomorphism invariant theories
• Lovelock-Cartan theory of gravity
• Covariant canonical formalism for four-dimensional BF theory
• On the separation of Einsteinian substructures
• The linearization of the Kodama state
• Alternative symplectic structures for SO (3, 1) and SO (4) four-dimensional BF theories

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