Hamiltonian formalism for Bose excitations in a plasma with a non-Abelian interaction Yu. A. Markov, M. A. Markova, N. Yu. Markov, D. M. Gitman
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ArticleContent type: Текст Media type: электронный Subject(s): гамильтонов формализм | бозе-возбуждения | плазма | люминофорыGenre/Form: статьи в журналах Online resources: Click here to access online
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Journal of experimental and theoretical physics Vol. 130, № 2. P. 274-286Abstract: 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.
Библиогр.: 22 назв.
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.
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