Quantum group symmetry and discrete scale invariance: Spectral aspects
High Energy Physics - Theory
2007-05-23 v2 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0308121,
title = {Quantum group symmetry and discrete scale invariance: Spectral aspects},
author = {Miguel Tierz},
journal= {arXiv preprint arXiv:hep-th/0308121},
year = {2007}
}
Comments
15 pages, 2 figures, reorganized and expanded