Canonical formalism and quantization of perturbative sector of higher-derivative theories
arXiv:quant-ph/0701228 · doi:10.1103/PhysRevA.76.032110
Abstract
The theories defined by Lagrangians containing second time derivative are considered. It is shown that if the second derivatives enter only the terms multiplied by coupling constant one can consistently define the perturbative sector via Dirac procedure. The possibility of introducing standard canonical variables is analysed in detail. The ambiguities in quantization procedure are pointed out.
arXiv comment16 pages, no figures
References in corpus (19)
- String Theory and Noncommutative Geometry
- Noncommutative Field Theory
- Quantum Field Theory on Noncommutative Spaces
- Noncommutative Geometry and Matrix Theory: Compactification on Tori
- Space-Time Noncommutative Field Theories And Unitarity
- Space/Time Non-Commutativity and Causality
- On the unitarity problem in space/time noncommutative theories
- Hamiltonian Formalism for Space-time Non-commutative Theories
- Time-ordered Perturbation Theory on Noncommutative Spacetime: Basic Rules
- Perturbative Approach to Higher Derivative and Nonlocal Theories
- Search for the Standard Model Higgs Boson with the OPAL Detector at LEP
- The effectiveness of the local potential approximation in the Wegner-Houghton renormalization group
- Non-linear Vacuum Phenomena in Non-commutative QED
- Unitarity in space-time noncommutative field theories
- Physical Degrees of Freedom of Non-local Theories
- Unitarity of Time-Like Noncommutative Gauge Theories: The Violation of Ward Identities in Time-Ordered Perturbation Theory
- Perturbative Approach to Higher Derivative Theories with Fermions
- Perturbation theory of the space-time non-commutative real scalar field theories
- Violation of Remaining Lorentz Symmetry in the Approach of Time-Ordered Perturbation Theory to Space-Time Noncommutativity
Cited by in corpus (5)
- Classical and quantum stability of higher-derivative dynamics
- Stable interactions in higher derivative field theories of derived type
- Multi-Hamiltonian formulations and stability of higher-derivative extensions of Chern-Simons
- Conservation Laws and Stability of Field Theories of Derived Type
- Conservation laws and stability of higher derivative extended Chern-Simons