On Effective Dimensional Reduction in Hyperbolic Spaces

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dc.creatorGorbar, E. V.
dc.date2008-09-15
dc.date.accessioned2026-07-07T10:03:12Z
dc.date.available2026-07-07T10:03:12Z
dc.descriptionIt is shown that the classical motion of massive particles in hyperbolic spaces $H^D$ has a bounded character in $D-1$ coordinates. Studying the Dirac equation, it is found that a bounded character of the classical motion corresponds to the effective dimensional reduction $D+1 \to 1+1$ for fermions in the infrared region in the quantum problem. This effective dimensional reduction leads to the zero critical value of coupling constant for dynamical symmetry breaking in hyperbolic spaces.
dc.description6 pages, submitted to Ukr. Phys. Journal
dc.identifierhttps://arxiv.org/abs/0809.2558
dc.identifierhttp://arxiv.org/abs/0809.2558
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169198
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleOn Effective Dimensional Reduction in Hyperbolic Spaces
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