Relativistic chromohydrodynamics and Yang-Mills Vlasov plasma

Physics

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Plasma Dynamics, Quantum Chromodynamics, Relativistic Plasmas, Relativistic Theory, Vlasov Equations, Yang-Mills Fields, Cold Plasmas, Gauge Invariance, Hamiltonian Functions, Ideal Fluids, Poisson Equation

Scientific paper

The nonrelativistic equations describing a Yang-Mills/Vlasov plasma and the chromohydrodynamic (CHD) equations derived by taking their cold-plasma limit (Gibbons et al., 1982 and 1983) are used to formulate the corresponding equations for the relativistic case. The noncanonical Poisson brackets of the Hamiltonians of each set of equations are found to be invariant with respect to relativization, whereas the physical variables and Hamiltonian functionals deform regularly in the parameter 1/(c squared) from their nonrelativistic forms.

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