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We study the correlation functions of scalar operators in the theory defined as the holographic dual of the Schrödinger background with dynamical exponent z = 2 at zero temperature and zero chemical potential. We offer a closed expression of the correlation functions at tree level in terms of Fourier transforms of the corresponding n -point functions computed from pure AdS in the light-cone frame. At the loop level this mapping does not hold and one has to use the full Schrödinger background, after proper regularization. We explicitly compute the 3-point function comparing it with the specific 3-point function of the nonrelativistic theory of cold atoms at unitarity. We find agreement of both 3-point functions, including the part not fixed by the symmetry, up to an overall normalization constant.
Physical Review D – American Physical Society (APS)
Published: May 15, 2009
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