15 research outputs found
Chaos-Order Transition in Matrix Theory
Classical dynamics in SU(2) Matrix theory is investigated. A classical
chaos-order transition is found. For the angular momentum small enough (even
for small coupling constant) the system exhibits a chaotic behavior, for
angular momentum large enough the system is regular.Comment: 14 pages, Latex, 10 figure
Chaotic thermalization in Yang-Mills-Higgs theory on a spacial lattice
We analyze the Hamiltonian time evolution of classical SU(2) Yang-Mills-Higgs
theory with a fundamental Higgs doublet on a spacial lattice. In particular, we
study energy transfer and equilibration processes among the gauge and Higgs
sectors, calculate the maximal Lyapunov exponents under randomized initial
conditions in the weak-coupling regime, where one expects them to be related to
the high-temperature plasmon damping rate, and investigate their energy and
coupling dependence. We further examine finite-time and finite-size errors,
study the impact of the Higgs fields on the instability of constant non-Abelian
magnetic fields, and comment on the implications of our results for the
thermalization properties of hot gauge fields in the presence of matter.Comment: 33 pages, 16 figures (vs2 contains, as the published version, an
additional section on potential implications of chaotic thermalization for
nonequilibrium processes in the early Universe and in the aftermath of
ultrarelativistic nuclear collisions.
Regular and chaotic interactions of two BPS dyons at low energy
We identify and analyze quasiperiodic and chaotic motion patterns in the time
evolution of a classical, non-Abelian Bogomol'nyi-Prasad-Sommerfield (BPS) dyon
pair at low energies. This system is amenable to the geodesic approximation
which restricts the underlying SU(2) Yang-Mills-Higgs dynamics to an
eight-dimensional phase space. We numerically calculate a representative set of
long-time solutions to the corresponding Hamilton equations and analyze
quasiperiodic and chaotic phase space regions by means of Poincare surfaces of
section, high-resolution power spectra and Lyapunov exponents. Our results
provide clear evidence for both quasiperiodic and chaotic behavior and
characterize it quantitatively. Indications for intermittency are also
discussed.Comment: 22 pages, 6 figures (v2 contains a few additional references, a new
paragraph on intermittency and minor stylistic corrections to agree with the
published version
Non-Abelian Collective Excitations in Unlinearized Quark-Gluon Plasma Media
We study the effect of unlinearized medium on the collective excitations in
quark-gluon plasma. We present two kinds of non-Abelian oscillation solutions
which respectively correspond to weakly and strongly nonlinear coupling of
field components in color space. We also show that the weakly nonlinear
solution is similar to Abelian-like one but has the frequency shift, which is
of order , from eigenfrequency.Comment: 7 page
Non-Abelian Excitations of the Quark-Gluon Plasma
We present new, non-abelian, solutions to the equations of motion which
describe the collective excitations of a quark-gluon plasma at high
temperature. These solutions correspond to spatially uniform color
oscillations.Comment: 8 pages LaTex, 1 figure (not included; available upon request),
Saclay preprint T94/0
Non-abelian plane waves and stochastic regimes for (2+1)-dimensional gauge field models with Chern-Simons term
An exact time-dependent solution of field equations for the 3-d gauge field
model with a Chern-Simons (CS) topological mass is found. Limiting cases of
constant solution and solution with vanishing topological mass are considered.
After Lorentz boost, the found solution describes a massive nonlinear
non-abelian plane wave. For the more complicate case of gauge fields with CS
mass interacting with a Higgs field, the stochastic character of motion is
demonstrated.Comment: LaTeX 2.09, 13 pages, 11 eps figure