Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Dual Lagrangian field theories
View through CrossRef
We investigate how, under suitable regularity conditions, first-order Lagrangian field theories can be recasted in terms of a second-order Lagrangian, called the dual Lagrangian of the theory, depending on canonical conjugate momenta together with their derivatives. The necessary and sufficient conditions which allow such a (local) reformulation, obtained through a suitable generalization of the Legendre transformation, are analyzed. The global geometric framework is also investigated in detail. As an example, we apply the dual Lagrangian formulation to the Hilbert Lagrangian and to Euclidean self-dual gravity.
Title: Dual Lagrangian field theories
Description:
We investigate how, under suitable regularity conditions, first-order Lagrangian field theories can be recasted in terms of a second-order Lagrangian, called the dual Lagrangian of the theory, depending on canonical conjugate momenta together with their derivatives.
The necessary and sufficient conditions which allow such a (local) reformulation, obtained through a suitable generalization of the Legendre transformation, are analyzed.
The global geometric framework is also investigated in detail.
As an example, we apply the dual Lagrangian formulation to the Hilbert Lagrangian and to Euclidean self-dual gravity.
Related Results
Lagrangian versus Eulerian spectral estimates of surface kinetic energy over the global ocean
Lagrangian versus Eulerian spectral estimates of surface kinetic energy over the global ocean
In this study, we carried out a novel massive Lagrangian simulation
experiment derived from a global 1/48° tide-resolving numerical
simulation of the ocean circulation. This first-...
When Does a Dual Matrix Have a Dual Generalized Inverse?
When Does a Dual Matrix Have a Dual Generalized Inverse?
This paper deals with the existence of various types of dual generalized inverses of dual matrices. New and foundational results on the necessary and sufficient conditions for vari...
Design and analysis of dual-curing systems
Design and analysis of dual-curing systems
Dual-curing processing is a method to prepare thermoset materials through two polymerization reactions carried out
simultaneously or sequentially. In these processes, a firm under...
Forecasting for a Lagrangian aircraft campaign
Forecasting for a Lagrangian aircraft campaign
Abstract. A forecast system has been developed in preparation for an upcoming aircraft measurement campaign, where the same air parcels polluted by emissions over North America sha...
Minimax Duality for MIMO Interference Networks
Minimax Duality for MIMO Interference Networks
A minimax duality for a Gaussian mutual information expression was introduced by Yu. An interesting observation is the relationship between cost constraints on the transmit covaria...
A mixed total Lagrangian-updated Lagrangian Smoothed Particles Hydrodynamics method for geomechanics simulations with discontinuities
A mixed total Lagrangian-updated Lagrangian Smoothed Particles Hydrodynamics method for geomechanics simulations with discontinuities
This study presents a novel approach for simulating geotechnical problems including the initiation and post-failure behavior of discontinuities. The developed method is constituted...
Lagrangian coherent track initialization
Lagrangian coherent track initialization
Advances in time-resolved three-dimensional Particle Tracking Velocimetry (4D-PTV) techniques have consistently revealed more accurate Lagrangian particle motions. A novel track in...
Grassmann variables and pseudoclassical Nuclear Magnetic Resonance
Grassmann variables and pseudoclassical Nuclear Magnetic Resonance
The concept of a propagator is useful and is a well-known object in diffusion NMR experiments. Here, we investigate the related concept; the propagator for the magnetization or the...