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arXiv · 1706.00016

Scale anomaly of a Lifshitz scalar: a universal quantum phase transition to discrete scale invariance

Daniel K. Brattan·Omrie Ovdat·Eric Akkermans
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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 $\lambda_{c}$ corresponding to a strongly attractive potential.

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Daniel K. Brattan, Omrie Ovdat, Eric Akkermans. 2017-05-31. Scale anomaly of a Lifshitz scalar: a universal quantum phase transition to discrete scale invariance. https://doi.org/10.1103/physrevd.97.061701

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