Scale anomaly of a Lifshitz scalar: a universal quantum phase transition to discrete scale invariance
High Energy Physics - Theory
2018-04-24 v2 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Quantum Physics
Abstract
We demonstrate the existence of a universal transition from a continuous scale invariant phase to a discrete scale invariant phase for a class of one-dimensional quantum systems with anisotropic scaling symmetry between space and time. These systems describe a Lifshitz scalar interacting with a background potential. The transition occurs at a critical coupling corresponding to a strongly attractive potential.
Keywords
Cite
@article{arxiv.1706.00016,
title = {Scale anomaly of a Lifshitz scalar: a universal quantum phase transition to discrete scale invariance},
author = {Daniel K. Brattan and Omrie Ovdat and Eric Akkermans},
journal= {arXiv preprint arXiv:1706.00016},
year = {2018}
}
Comments
6 pages, 3 figures + 3 pages supplementary material; v2: minor typos corrected, additional text of published version added