Geometric Lagrangian approach to the physical degree of freedom count in field theory

DOI10.1063/1.5008740zbMath1391.70063arXiv1710.01371OpenAlexW3103121579WikidataQ129895325 ScholiaQ129895325MaRDI QIDQ4565447

Bogar Díaz, Merced Montesinos

Publication date: 12 June 2018

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

Full work available at URL: https://arxiv.org/abs/1710.01371

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Constrained dynamics, Dirac's theory of constraints (70H45) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Lagrange's equations (70H03)

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Cites Work

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• \(2+1\)-dimensional gravity as an exactly soluble system
• Higher derivative field theories: degeneracy conditions and classes
• Geometrodynamics vs. connection dynamics
• Exorcising the Ostrogradsky ghost in coupled systems
• Topological gauge theories of antisymmetric tensor fields
• Constrained dynamics. With applications to Yang-Mills theory, general relativity, classical spin, dual string model
• Characteristic forms and geometric invariants
• Lagrangian approach to the physical degree of freedom count
• Generalized Hamiltonian dynamics
• Covariant canonical formalism for four-dimensional BF theory
• Local symmetries and constraints
• A Immirzi-like parameter for 3D quantum gravity
• Invariant derivation of the Euler-Lagrange equation
• New relations between Hamiltonian and Lagrangian constraints
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• Invariant variation problems
• Reformulation of the symmetries of first-order general relativity
• A note on the spin connection representation of gravity
• Darboux coordinates for (first-order) tetrad gravity
• Equivalence between the Lagrangian and Hamiltonian formalism for constrained systems
• BF gravity
• Symmetries in fundamental physics

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