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Scale anomaly of a Lifshitz scalar: a universal quantum phase transition to discrete scale invariance (1706.00016v2)
Published 31 May 2017 in hep-th, cond-mat.mes-hall, math-ph, math.MP, and quant-ph
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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