Lyapunov Exponent and Plasmon Damping Rate in Nonabelian Gauge Theories

Abstract

We explain why the maximal positive Lyapunov exponent of classical SU($N$) gauge theory coincides with (twice) the damping rate of a plasmon at rest in the leading order of thermal gauge theory. [This is a substantially revised and expanded version of the manuscript.]

arXiv comment18 pages, one figure included as PostScript file, REVTeX, revised version, DUKE-TH-94-73

References in corpus (11)

• Soft Collective Excitations in Hot Gauge Theories
• Kinetic Equations for Longwavelength Excitations of the Quark-Gluon Plasma
• Deriving the Hard Thermal Loops of QCD from Classical Transport Theory
• Color Diffusion and Conductivity in a Quark-Gluon Plasma
• The Secret Chern-Simons Action for the Hot Gluon Plasma
• Hamiltonian Dynamics of Yang-Mills Fields on a Lattice
• Chern-Simons Theory and the Quark-Gluon Plasma
• Color, Spin and Flavor Diffusion in Quark-Gluon Plasmas
• Lyapunov Exponent of SU(3) Gauge Theory
• Magnetic Screening in Thermal Yang-Mills Theories
• Lyapunov Spectra in SU(2) Lattice Gauge Theory

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