Canonical analysis of field theories in the presence of boundaries: Maxwell + Pontryagin

DOI10.1088/1361-6382/ab778fzbMath1479.83018arXiv2001.06068OpenAlexW3000648538MaRDI QIDQ5161965

Alejandro Corichi, Tatjana Vukašinac

Publication date: 1 November 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06068

zbMATH Keywords

Hamiltonian dynamicsclassical field theoryconstrained systemsMaxwell Pontryaginspacetime with boundaries

Mathematics Subject Classification ID

Hamilton's equations (70H05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Constrained dynamics, Dirac's theory of constraints (70H45) Boundary value problems on manifolds (58J32) Equations of motion in general relativity and gravitational theory (83C10) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Canonical transformations in symplectic and contact geometry (53D22) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (2)

Bianchi type I, Schutz perfect fluid and evolutionary quantum cosmology ⋮ Weakly isolated horizons: 3 + 1 decomposition and canonical formulations in self-dual variables

Cites Work

• Unnamed Item
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• On Dirac's incomplete analysis of gauge transformations
• On the boundary dynamics of Chern-Simons gravity
• Role of surface integrals in the Hamiltonian formulation of general relativity
• Geometrodynamics vs. connection dynamics
• Gravity and BF theory defined in bounded regions
• \(4\)D edge currents from \(5\)D Chern-Simons theory
• Generalizations of the Pontryagin and Husain-Kuchař actions to manifolds with boundary
• EDGE STATES IN 4D AND THEIR 3D GROUPS AND FIELDS
• Bering’s proposal for boundary contribution to the Poisson bracket
• EDGE STATES IN GAUGE THEORIES: THEORY, INTERPRETATIONS AND PREDICTIONS
• Actions, topological terms and boundaries in first-order gravity: A review
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• Boundary values as Hamiltonian variables. I. New Poisson brackets
• A Relativist's Toolkit
• Mechanics of isolated horizons
• Dirac’s algorithm in the presence of boundaries: a practical guide to a geometric approach
• Hamiltonian analysis of a topological theory in the presence of boundaries
• Hamiltonian treatment of linear field theories in the presence of boundaries: a geometric approach
• Generalized Hamiltonian Dynamics
• Non-Linear Field Theories
• The Hamiltonian Form of Field Dynamics
• Dirac Bracket Transformations in Phase Space
• General Relativity
• Hamiltonian systems with boundaries
• Isolated horizons: The classical phase space
• Boundary conditions as Dirac constraints
• Family of boundary Poisson brackets.

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