On covariant Poisson brackets in classical field theory
From MaRDI portal
Publication:3450553
DOI10.1063/1.4932011zbMath1353.70060arXiv1501.03780OpenAlexW1816909598MaRDI QIDQ3450553
Michael Forger, Mário O. Salles
Publication date: 6 November 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.03780
Symplectic manifolds (general theory) (53D05) Quantum field theory on curved space or space-time backgrounds (81T20) Poisson manifolds; Poisson groupoids and algebroids (53D17) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)
Related Items (5)
On the canonical formulation of gauge field theories and Poincaré transformations ⋮ Covariant momentum map for non-Abelian topological BF field theory ⋮ Polysymplectic formulation for BF gravity with Immirzi parameter ⋮ Hamiltonian multiform description of an integrable hierarchy ⋮ Multiform description of the AKNS hierarchy and classical r-matrix
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Poisson bracket on multisymplectic phase space
- Dynamical structures for k-vector fields
- A Darboux theorem for multi-symplectic manifolds
- A canonical structure for classical field theories
- Canonical structure of classical field theory in the polymomentum phase space
- On the multisymplectic formalism for first order field theories
- On field theoretic generalizations of a Poisson algebra
- The generally covariant locality principle -- a new paradigm for local quantum field theory
- Covariant Hamiltonian formalism for the calculus of variations with several variables: Lepage-Dedecker versus De Donder-Weyl
- Covariant Poisson brackets in geometric field theory
- The polysymplectic Hamiltonian formalism in field theory and calculus of variations. I: The local case
- The notion of observable in the covariant Hamiltonian formalism for the calculus of variations with several variables
- Algebraic structure of classical field theory: kinematics and linearized dynamics for real scalar fields
- The Hamilton-Cartan formalism in the calculus of variations
- MULTISYMPLECTIC AND POLYSYMPLECTIC STRUCTURES ON FIBER BUNDLES
- Invariant Commutators for the Quantized Gravitational Field
- Hamiltonian multivector fields and Poisson forms in multisymplectic field theory
- Symplectic geometry of the convariant phase space
- THE POISSON BRACKET FOR POISSON FORMS IN MULTISYMPLECTIC FIELD THEORY
- The commutation laws of relativistic field theory
This page was built for publication: On covariant Poisson brackets in classical field theory
