Quantum group symmetry and discrete scale invariance: Spectral aspects

Details Quantum group symmetry and discrete scale invariance: Spectral aspects Quantum group symmetry and discrete scale invariance: Spectral aspects

2003-08-19

arxiv.org/abs/hep-th/0308121v2

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 2 figures, reorganized and expanded

Scientific paper

We 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.

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