Hamiltonian formalism for Bose excitations in a plasma with a non-Abelian interaction
| Autor: | Markov, Yu. A., Markova, M. A., Markov, N. Yu., Gitman, D. M. |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | J. Exp. Theor. Phys. (2020) 130: 274 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1134/S1063776120010082 |
| Popis: | 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 figures |
| Databáze: | arXiv |
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