Quantum critical responses via holographic models and conformal perturbation theory
APA
Sierens, T. (2017). Quantum critical responses via holographic models and conformal perturbation theory. Perimeter Institute. https://pirsa.org/17060018
MLA
Sierens, Todd. Quantum critical responses via holographic models and conformal perturbation theory. Perimeter Institute, Jun. 01, 2017, https://pirsa.org/17060018
BibTex
@misc{ pirsa_PIRSA:17060018, doi = {10.48660/17060018}, url = {https://pirsa.org/17060018}, author = {Sierens, Todd}, keywords = {Other}, language = {en}, title = {Quantum critical responses via holographic models and conformal perturbation theory}, publisher = {Perimeter Institute}, year = {2017}, month = {jun}, note = {PIRSA:17060018 see, \url{https://pirsa.org}} }
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Abstract
We investigate response functions near quantum critical points, allowing for finite temperature and a mild deformation by a relevant scalar. When the quantum critical point is described by a conformal field theory, we use conformal perturbation theory and holography to determine the two leading corrections to the scalar two-point function and to the conductivity. We build a bridge between the couplings fixed by conformal symmetry with the interaction couplings in the gravity theory. We construct a minimal holographic model that allows us to numerically obtain the response functions at all frequencies, independently confirming the corrections to the high-frequency response functions. In addition to probing the physics of the ultraviolet, the holographic model probes the physics of the infrared giving us qualitative insight into new physics scalings.