Correlation Functions in Non-Relativistic Holography
High Energy Physics - Theory
2009-05-29 v2
Abstract
Recently constructed gravity solutions with Schrodinger symmetry provide a new example of AdS/CFT-type dualities for the type of non-relativistic field theories relevant to certain cold atom systems. In this paper we use the gravity side to calculate n-point correlation functions of scalar fields by reducing the computation to that in ordinary AdS space via a particular Fourier transform. We evaluate the relevant integrals for 3- and 4-point functions and show that the results are consistent with the requirements of Schrodinger invariance, the implications of which we also work out for general n-point functions.
Cite
@article{arxiv.0903.2455,
title = {Correlation Functions in Non-Relativistic Holography},
author = {Anastasia Volovich and Congkao Wen},
journal= {arXiv preprint arXiv:0903.2455},
year = {2009}
}
Comments
18 pages