Hamiltonian Formalism in the Presence of Higher Derivatives

Abstract

A short review of basic formulas from Hamiltonian formalism in classical mechanics in the case when Lagrangian contains N time-derivatives of n coordinate variables. For non-local models N=infinity.

arXiv comment8 pages

References in corpus (24)

• The Hierarchy Problem and New Dimensions at a Millimeter
• Living with Ghosts
• Integrability and Matrix Models
• Universal Field Equations with Covariant Solutions D.B. Fairlie
• An Exceptionally Simple Theory of Everything
• Ghost-free higher-derivative theory
• Functional Renormalization Group Equations, Asymptotic Safety, and Quantum Einstein Gravity
• Stability and Hamiltonian formulation of higher derivative theories
• A Canonical Formalism For Lagrangians With Nonlocality Of Finite Extent
• The higher derivative regularization and quantum corrections in $\mathcal{N}=2$ supersymmetric theories
• Physical Degrees of Freedom of Non-local Theories
• Higher Derivatives and Canonical Formalisms
• Quantizing non-Lagrangian gauge theories: an augmentation method
• Perturbative Approach to Higher Derivative Theories with Fermions
• Self-Interaction and Regularization of Classical Electrodynamics in Higher Dimensions
• A Note on Non-Locality and Ostrogradski's Construction
• Majorana equation and exotics: higher derivative models, anyons and noncommutative geometry
• Equations of motion, Noncommutativity and Quantization
• Higher Nilpotent Analogues of A-infinity Structure
• A path integral leading to higher-order Lagrangians
• On the unitarity of higher-dervative and nonlocal theories
• Geometric Hamiltonian Formalism for Reparametrization Invariant Theories with Higher Derivatives
• The Hamiltonian Formulation of Higher Order Dynamical Systems
• A note on the Hamiltonian formalism for higher-derivative theories

Cited by in corpus (10)

• Gauge invariances of higher derivative Maxwell-Chern-Simons field theory -- a new Hamiltonian approach
• Gauge symmetry and W-algebra in higher derivative systems
• Asymptotics of physical solutions to the Lorentz-Dirac equation for a planar motion in constant electromagnetic fields
• Geometric Hamiltonian Formalism for Reparametrization Invariant Theories with Higher Derivatives
• Resolving Puzzles of Massive Gravity with and without violation of Lorentz symmetry
• Ostrogradsky's Hamilton formalism and quantum corrections
• Higher time derivatives in the microcanonical ensemble describe dynamics of flux-coupled classical and quantum oscillators
• A realisation of Lorentz algebra in Lorentz violating theory
• Modified Hamilton formalism for fields
• Yang-Mills model for centrally extended 2d gravity