Quantum Criticality in Einstein-Maxwell-Dilaton Gravity

Details Quantum Criticality in Einstein-Maxwell-Dilaton Gravity Quantum Criticality in Einstein-Maxwell-Dilaton Gravity

2010-09-20

arxiv.org/abs/1009.3952v1

Physics Letters B 707 (2012), pp. 398-403

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 6 figures, revtex4

Scientific paper

10.1016/j.physletb.2011.12.053

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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