期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 7, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP07(2017)149
关键词
AdS-CFT Correspondence; Conformal Field Theory; Holography and condensed matter physics (AdS/CMT)
资金
- Gordon and Betty Moore Foundation's EPiQS Initiative [GBMF4302]
- NSERC Discovery grant
- NSERC
- Canada Research Chair
- MURI from ARO [W911NF-14-1-0003]
- National Science Foundation [PHY-1066293]
- Government of Canada through the Department of Innovation, Science and Economic Development
- Province of Ontario through the Ministry of Research Innovation
We discuss dynamical response functions near quantum critical points, allowing for both a finite temperature and detuning by a relevant operator. When the quantum critical point is described by a conformal field theory (CFT), conformal perturbation theory and the operator product expansion can be used to fix the first few leading terms at high frequencies. Knowledge of the high frequency response allows us then to derive non-perturbative sum rules. We show, via explicit computations, how holography recovers the general results of conformal field theory, and the associated sum rules, for any holographic field theory with a conformal UV completion - regardless of any possible new ordering and/or scaling physics in the IR. We numerically obtain holographic response functions at all frequencies, allowing us to probe the breakdown of the asymptotic high-frequency regime. Finally, we show that high frequency response functions in holographic Lifshitz theories are quite similar to their conformal counterparts, even though they are not strongly constrained by symmetry.
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