Quantum group symmetry and discrete scale invariance: Spectral aspects

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dc.creatorTierz, Miguel
dc.date2003-08-19
dc.date2005-01-31
dc.date.accessioned2026-07-07T04:15:37Z
dc.date.available2026-07-07T04:15:37Z
dc.descriptionWe study analytical aspects of a generic q-deformation with q real, by relating it with discrete scale invariance. We show how models of conformal quantum mechanics, in the strong coupling regime and after regularization, are also discrete scale invariant. We discuss the consequences of their distinctive spectra, characterized by functional behavior. The role of log-periodic behavior and q-periodic functions is examined, and we show how q-deformed zeta functions, characterized by complex poles, appear. As an application, we discuss one-loop effects in discretely self-similar space-times.
dc.description15 pages, 2 figures, reorganized and expanded
dc.identifierhttps://arxiv.org/abs/hep-th/0308121
dc.identifierhttp://arxiv.org/abs/hep-th/0308121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52075
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleQuantum group symmetry and discrete scale invariance: Spectral aspects
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