Universal properties of the U(1) current at deconfined quantum critical points: Comparison with predictions from gauge-gravity duality
- Institut fuer Theoretische Physik, Freie Universitaet Berlin, Arnimallee 14, D-14195 Berlin (Germany)
The deconfined quantum critical point of a two-dimensional SU(N) antiferromagnet is governed by an Abelian Higgs model in d=2+1 spacetime dimensions featuring N complex scalar fields. In this context, we derive for 2{<=}d{<=}4 an exact formula for the central charge of the U(1) current in terms of the gauge coupling at quantum criticality and compare it with the corresponding result obtained using gauge-gravity duality. There is a remarkable similarity precisely for d=2+1. In this case the amplitude of the current correlation function has the same form as predicted by the gauge-gravity duality. We also compare finite temperature results for the charge susceptibility in the large N limit with the result predicted by the gauge-gravity duality. Our results suggest that condensed matter systems at quantum criticality may provide interesting quantitative tests of the gauge-gravity duality even in the absence of supersymmetry.
- OSTI ID:
- 21296370
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 79, Issue 10; Other Information: DOI: 10.1103/PhysRevD.79.105007; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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