171 research outputs found
Unitary quantization and para-Fermi statistics of order two
A connection between a unitary quantization scheme and para-Fermi statistics
of order 2 is considered. An appropriate extension of Green's ansatz is
suggested. This extension allows one to transform bilinear and trilinear
commutation relations for the annihilation and creation operators of two
different para-Fermi fields and into identity. The way of
incorporating para-Grassmann numbers into a general scheme of
uniquantization is also offered. For parastatistics of order 2 a new fact is
revealed, namely, the trilinear relations containing both the para-Grassmann
variables and the field operators , under a certain
invertible mapping go over into the unitary equivalent relations, where
commutators are replaced by anticommutators and vice versa. It is shown that
the consequence of this circumstance is the existence of two alternative
definitions of the coherent state for para-Fermi oscillators. The Klein
transformation for Green's components of the operators , is
constructed in an explicit form that enables us to reduce the initial
commutation rules for the components to the normal commutation relations of
ordinary Fermi fields. A nontrivial connection between trilinear commutation
relations of the unitary quantization scheme and so-called Lie-supertriple
system is analysed. A brief discussion of the possibility of embedding the
Duffin-Kemmer-Petiau theory into the unitary quantization scheme is provided.Comment: 44 pages, the version published in J. Exp. Theor. Phy
Hamiltonian formalism for Fermi excitations in a plasma with a non-Abelian interaction
The Hamiltonian theory for the collective longitudinally polarized colorless
gluon excitations (plasmons) and for collective quark-antiquark excitations
with abnormal relation between chirality and helicity (plasminos) in a
high-temperature quark-gluon plasma (QGP) is developed. For this purpose,
Zakharov's formalism for constructing the wave theory in nonlinear media with
dispersion is used. A generalization of the Poisson superbracket involving both
commuting and anticommuting variables to the case of a continuous medium is
performed and the corresponding Hamilton equations are presented. The canonical
transformations including simultaneously both bosonic and fermionic degrees of
freedom of the collective excitations in QGP are discussed and a complete
system of the canonicity conditions for these transformations is written out.
An explicit form of the effective fourth-order Hamiltonians describing the
elastic scattering of plasmino off plasmino and plasmino off plasmon is found
and the Boltzmann type kinetic equations describing the processes of elastic
scattering are obtained. A detailed comparison of the effective amplitudes
defined within the (pseudo)classical Hamiltonian theory, with the corresponding
matrix elements calculated early in the framework of high-temperature quantum
chromodynamics in the so-called hard thermal loop approximation is performed.
This enables one to obtain, in particular, an explicit form of the vertex and
coefficient functions in the effective amplitudes and in the canonical
transformations, correspondingly, and also to define the validity of a purely
pseudoclassical approach in the Hamiltonian description of the dynamics of a
quark-gluon plasma. The problem of determining the higher-order coefficient
functions in the canonical transformations of fermionic and bosonic normal
variables is considered.Comment: 69 pages, 2 figures, typos corrected and references adde
Hamiltonian formalism for Bose excitations in a plasma with a non-Abelian interaction I: plasmon -- hard particle scattering
The Hamiltonian theory for the collective longitudinally polarized gluon
excitations (plasmons) coupling with classical high-energy test color-charged
particle propagating through a high-temperature gluon plasma is developed. A
generalization of the Lie-Poisson bracket to the case of a continuous medium
involving bosonic normal field variable
and a non-Abelian color
charge is performed and the corresponding Hamilton
equations are presented. The canonical transformations including simultaneously
both bosonic degrees of freedom of the soft collective excitations and degree
of freedom of hard test particle connecting with its color charge in the hot
gluon plasma are written out. A complete system of the canonicity conditions
for these transformations is derived. The notion of the plasmon number density
, which is
a nontrivial matrix in the color space, is introduced. An explicit form of the
effective fourth-order Hamiltonian describing elastic scattering of plasmon off
a hard color particle is found and the self-consistent system of Boltzmann type
kinetic equations taking into account the time evolution of the mean value of
the color charge of the hard particle is obtained. On the basis of these
equations, a model problem of interaction of two infinitly narrow wave packets
is considered. A system of nonlinear first-order ordinary differential
equations defining the dynamics of the interaction of the colorless and color components of the plasmon number density is
derived. The problem of determining the third- and fourth-order coefficient
functions entering into the canonical transformations of the original bosonic
variable and color charge
is discussed.Comment: 57 pages, 5 figure
Problem of the noise-noise correlation function in hot non-Abelian plasma
In this work on the basis of Kadomtsev's kinetic fluctuation theory we
present the more general expression for noise-noise correlation function in
effective theory for ultrasoft field modes.Comment: 3 pages, REVTeX
Hamiltonian formalism for Bose excitations in a plasma with a non-Abelian interaction
We have developed the Hamiltonian theory for collective longitudinally
polarized colorless excitations (plasmons) in a high-temperature gluon plasma
using the general formalism for constructing the wave theory in nonlinear media
with dispersion, which was developed by V.E. Zakharov. In this approach, we
have explicitly obtained a special canonical transformation that makes it
possible to simplify the Hamiltonian of interaction of soft gluon excitations
and, hence, to derive a new effective Hamiltonian. The approach developed here
is used for constructing a Boltzmann-type kinetic equation describing elastic
scattering of collective longitudinally polarized excitations in a gluon plasma
as well as the effect of the so-called nonlinear Landau damping. We have
performed detailed comparison of the effective amplitude of the plasmon-plasmon
interaction, which is determined using the classical Hamilton theory, with the
corresponding matrix element calculated in the framework of high-temperature
quantum chromodynamics; this has enabled us to determine applicability limits
for the purely classical approach described in this study.Comment: 21 pages, 2 figure
Conditions of austenite diffusional transformation in steel of Cr–3Ni–Mo–V-composition with high austenite stability
The paper investigated the bainitic steel of 10KHN3MFA grade, which is characterized by the increased tendency to display structural heredity in the forgings with large cross-sections. The samples have been studied for kinetics of diffusional transformation process both under continuous cooling and isothermal conditions, as well as its microstructure. It is determined that in the range of subcritical temperatures with cooling from 900 °C in the studied steel, the initial stage of separation of the ferrite phase takes place. It is shown for the first time that the diffusional ferrite-pearlite transformation fades. Previously it was believed that the beginning of transformation under isothermal conditions proceeds to the end. It was found out that the transformation begins immediately after the beginning of isothermal holding, without the generally accepted incubation period
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