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arXiv · 1009.3952

Quantum Criticality in Einstein-Maxwell-Dilaton Gravity

Wen-Yu Wen
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Abstract

We investigate the quantum Lifshitz criticality in a general background of Einstein-Maxwell-Dilaton gravity. In particular, we demonstrate the existence of critical point with dynamic critical exponent z by tuning a nonminimal coupling to its critical value. We also study the effect of nonminimal coupling and exponent z to the Efimov states and holographic RG flow in the overcritical region. We have found that the nonminimal coupling increases the instability for a probe scalar to condensate and its back reaction is discussed. At last, we give a quantum mechanics treatment to a solvable system with z=2, and comment for generic z>2.

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Wen-Yu Wen. 2010-09-20. Quantum Criticality in Einstein-Maxwell-Dilaton Gravity. https://doi.org/10.1016/j.physletb.2011.12.053

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