Geometric approach to chaos in the classical dynamics of abelian lattice gauge theory

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dc.creatorCasetti, Lapo
dc.creatorGatto, Raoul
dc.creatorPettini, Marco
dc.date1998-10-28
dc.date.accessioned2026-07-07T10:51:34Z
dc.date.available2026-07-07T10:51:34Z
dc.descriptionA Riemannian geometrization of dynamics is used to study chaoticity in the classical Hamiltonian dynamics of a U(1) lattice gauge theory. This approach allows one to obtain analytical estimates of the largest Lyapunov exponent in terms of time averages of geometric quantities. These estimates are compared with the results of numerical simulations, and turn out to be very close to the values extrapolated for very large lattice sizes even when the geometric quantities are computed using small lattices. The scaling of the Lyapunov exponent with the energy density is found to be well described by a quadratic power law.
dc.descriptionREVTeX, 9 pages, 4 PostScript figures included
dc.identifierhttps://arxiv.org/abs/chao-dyn/9810033
dc.identifierhttp://arxiv.org/abs/chao-dyn/9810033
dc.identifierJ.Phys.A32:3055-3067,1999
dc.identifierdoi:10.1088/0305-4470/32/16/013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184863
dc.subjectChaotic Dynamics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleGeometric approach to chaos in the classical dynamics of abelian lattice gauge theory
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