Year: 2010
Type: article
Abstract: We propose that there is no analogue of the Breitenlohner-Freedman stability bound on the mass of a scalar field in the context of the nonrelativistic AdS/CFT correspondence. Our treatment is based on an equivalence between the field equation of a complex scalar in the AdS/CFT correspondence and the one-dimensional Schr\"odinger equation with an inverse square potential. We compute the two-point boundary correlation function for ${m}^{2}<{m}_{\mathrm{BF}}^{2}$ and discuss its relation to renormalization group limit cycles and the Efimov effect in quantum mechanics. The equivalence also helps to elucidate holographic renormalization group flows and calculations in the global coordinates for Schr\"odinger spacetime.
Author: Sergej Moroz
Institution: Heidelberg University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2115632894