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Hamiltonian Formalism for Bose Excitations in a Plasma with a Non-Abelian Interaction

Авторы: Markov Yu.A., Markova M.A., Markov N.Y., Gitman D.M.

Журнал: Journal of Experimental and Theoretical Physics

Том: 130

Номер: 2

Год: 2020

Отчётный год: 2020

Издательство:

Местоположение издательства:

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DOI: 10.1134/S1063776120010082

Аннотация: 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.

Индексируется WOS: Q3

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Нет

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Индексируется CORE: Нет

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