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Correlation functions in the nonrelativistic AdS/CFT correspondence

Correlation functions in the nonrelativistic AdS/CFT correspondence 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Correlation functions in the nonrelativistic AdS/CFT correspondence

Physical Review D , Volume 79 (10) – May 15, 2009
19 pages

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References (50)

Publisher
American Physical Society (APS)
Copyright
Copyright © 2009 The American Physical Society
ISSN
1550-2368
DOI
10.1103/PhysRevD.79.106004
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Physical Review DAmerican Physical Society (APS)

Published: May 15, 2009

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