On the dynamics of large-N O(N)-symmetric quantum systems at finite temperature

dc.creatorBuividovich, P. V.
dc.date2009-03-25
dc.date.accessioned2026-07-07T12:56:23Z
dc.date.available2026-07-07T12:56:23Z
dc.descriptionTime evolution of a perturbed thermal state is studied in a quantum-mechanical system with O(N) symmetry. In the limit of large N, time dependence of O(N)-singlet expectation values can be described by classical equations of motion in a one-dimensional potential well. Time dependence of the perturbation is then described by a linear differential equation with time-dependent periodic coefficient. This equation, depending on the parameters, admits either exponentially growing/decaying or periodically oscillating solutions. It is demonstrated that only the latter possibility is actually realized, thus in such a system there is no redistribution of initial perturbation over all N degrees of freedom.
dc.description4 pages RevTeX, 2 figures
dc.identifierhttps://arxiv.org/abs/0903.4263
dc.identifierhttp://arxiv.org/abs/0903.4263
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224563
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleOn the dynamics of large-N O(N)-symmetric quantum systems at finite temperature
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