Energy loss of a high-speed color particle in a non-Abelian plasma within the framework of the Hamiltonian formalism

Yu. A. Markov^a, M. A. Markova^a, N. Yu. Markov<sup>ba

a</sup> Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, Irkutsk
^b Irkutsk State University

Abstract: A general formula for the energy loss of a fast color-charged particle in the process of its scattering on soft boson excitations of quark-gluon plasma is derived within the framework of the classical Hamiltonian formalism. The concept of the effective current of the scattering process is introduced, its relationship with the classical scattering matrix is determined, and a formula for the energy loss of a high-energy color particle moving in a high-temperature plasma with a non-Abelian interaction type is found.

Keywords: energy losses, quark-gluon plasma, effective current, classical scattering matrix

UDC: 517.9

MSC: 74J20, 82D10

DOI: 10.36535/2782-4438-2025-241-55-63