Higher Derivatives and Canonical Formalisms

Abstract

Path integral expressions for three canonical formalisms -- Ostrogradski's one, constrained one and generalized one -- of higher-derivative theories are given. For each fomalism we consider both nonsingular and singular cases. It is shown that three formalisms share the same path integral expressions. In paticular it is pointed out that the generalized canonical formalism is connected with the constrained one by a canonical transformation.

13pages Latex file

Cited by in corpus (25)

• Dynamics with Infinitely Many Time Derivatives and Rolling Tachyons
• Galilean-Invariant (2+1)-Dimensional Models with a Chern-Simons-Like Term and D=2 N oncommutative Geometry
• Boundary Terms, Variational Principles and Higher Derivative Modified Gravity
• Bouncing and Accelerating Solutions in Nonlocal Stringy Models
• Ghost-free higher-derivative theory
• Cosmological tachyon from cubic string field theory
• Non-local SFT Tachyon and Cosmology
• On the Null Energy Condition and Cosmology
• Various Hamiltonian formulations of f(R) gravity and their canonical relationships
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Modified Hamiltonian formalism for higher-derivative theories
• Classical and tree-level approaches to gravitational deflection in higher-derivative gravity
• Hamiltonian Formalism in the Presence of Higher Derivatives
• On the unitarity of higher-dervative and nonlocal theories
• Stability in the higher derivative Abelian gauge field theory
• Higher-Derivative Boson Field Theories and Constrained Second-Order Theories
• Covariant quantization of infinite spin particle models, and higher order gauge theories
• Reductions of Topologically Massive Gravity I: Hamiltonian Analysis of The Second Order Degenerate Lagrangians
• Interparticle potential energy for D-dimensional electromagnetic models from the corresponding scalar ones
• Validating variational principle for higher order theory of gravity
• Energy momentum tensor for translation invariant renormalizable noncommutative field theory
• Formulation of singular theories in a partial Hamiltonian formalism using a new bracket and multi-time dynamics
• Reductions of Topologically Massive Gravity II: First Order Realizations of Second Order Lagrangians
• Generalized Standard Model with higher-order derivatives under Rotor Mechanism and its Quantization
• Quantization of Generalized Abelian Gauge Field Theory under Rotor Model