Correlation Functions in Non-Relativistic Holography

TL;DR

This paper calculates scalar field correlation functions in non-relativistic holographic duals with Schrodinger symmetry, confirming their consistency with the expected invariance properties and providing explicit results for 3- and 4-point functions.

Contribution

It introduces a method to compute n-point correlation functions in non-relativistic holography by transforming the problem into AdS space, simplifying the calculations.

Findings

Correlation functions are consistent with Schrodinger invariance.

Explicit 3- and 4-point function calculations are provided.

The method simplifies non-relativistic holographic computations.

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.