A field theory approach to the evolution of canonical helicity and energy
Abstract
A redefinition of the Lagrangian of a multiparticle system in fields reformulates the singleparticle, kinetic, and fluid equations governing fluid and plasma dynamics as a single set of generalized Maxwell's equations and Ohm's law for canonical forcefields. The Lagrangian includes new terms representing the coupling between the motion of particle distributions, between distributions and electromagnetic fields, with relativistic contributions. The formulation shows that the concepts of selforganization and canonical helicity transport are applicable across singleparticle, kinetic, and fluid regimes, at classical and relativistic scales. The theory gives the basis for comparing canonical helicity change to energy change in general systems. For example, in a fixed, isolated system subject to nonconservative forces, a species' canonical helicity changes less than total energy only if gradients in density or distribution function are shallow.
 Authors:
 William E. Boeing Department of Aeronautics and Astronautics, University of Washington, Seattle, Washington 98195 (United States)
 Publication Date:
 OSTI Identifier:
 22600039
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 23; Journal Issue: 7; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COMPARATIVE EVALUATIONS; DENSITY; DISTRIBUTION; DISTRIBUTION FUNCTIONS; ELECTROMAGNETIC FIELDS; EQUATIONS; FIELD THEORIES; FLUID MECHANICS; HELICITY; LAGRANGIAN FUNCTION; PARTICLES; PLASMA; RELATIVISTIC RANGE; TRANSPORT THEORY
Citation Formats
You, S. A field theory approach to the evolution of canonical helicity and energy. United States: N. p., 2016.
Web. doi:10.1063/1.4956465.
You, S. A field theory approach to the evolution of canonical helicity and energy. United States. doi:10.1063/1.4956465.
You, S. 2016.
"A field theory approach to the evolution of canonical helicity and energy". United States.
doi:10.1063/1.4956465.
@article{osti_22600039,
title = {A field theory approach to the evolution of canonical helicity and energy},
author = {You, S.},
abstractNote = {A redefinition of the Lagrangian of a multiparticle system in fields reformulates the singleparticle, kinetic, and fluid equations governing fluid and plasma dynamics as a single set of generalized Maxwell's equations and Ohm's law for canonical forcefields. The Lagrangian includes new terms representing the coupling between the motion of particle distributions, between distributions and electromagnetic fields, with relativistic contributions. The formulation shows that the concepts of selforganization and canonical helicity transport are applicable across singleparticle, kinetic, and fluid regimes, at classical and relativistic scales. The theory gives the basis for comparing canonical helicity change to energy change in general systems. For example, in a fixed, isolated system subject to nonconservative forces, a species' canonical helicity changes less than total energy only if gradients in density or distribution function are shallow.},
doi = {10.1063/1.4956465},
journal = {Physics of Plasmas},
number = 7,
volume = 23,
place = {United States},
year = 2016,
month = 7
}

Synthetic Approach and Canonical Variables in a Nonlocal Field Theory
The analysis of the axiomatic structure of quantum field theory establishes what is called the synthetic approach. The translation in time is completely defined by its transformation function; it defines also canonical variables. The hamiltonian is discussed at a later stage in order to establish the correspondence between this approach and the conventional one. An application is made to analyze KristensenMoller's theory of a nonlocal field. Its field variables are shown to be noncanonical; two field operators referring to two different points at the same time are not independent from each other when the distance between the two points ismore » 
Evolution of perturbations in distinct classes of canonical scalar field models of dark energy
Dark energy must cluster in order to be consistent with the equivalence principle. The background evolution can be effectively modeled by either a scalar field or by a barotropic fluid. The fluid model can be used to emulate perturbations in a scalar field model of dark energy, though this model breaks down at large scales. In this paper we study evolution of dark energy perturbations in canonical scalar field models: the classes of thawing and freezing models. The dark energy equation of state evolves differently in these classes. In freezing models, the equation of state deviates from that of amore » 
New approach to the firstorder canonical formulation of gravitation: Application to EinsteinCartanSciamaKibble theory
An alternative approach to the firstorder canonical formulation of gravitation is developed. The vierbein e/sup mua/ and the spin connection ..omega../sub mua/b are treated as independent but coequal field variables. There is no partial integration of the action prior to proceeding with canonical formulation in order to rearrange the noncyclic canonical variables. The spin connection remains noncyclic, and this seems to reduce the level of calculational complexity usually encountered in the canonical formulation of gravitation theory. As a result the approach is well suited for application to extended theories, such as R+R/sup 2/ theories and extended theories of supergravity. Themore »