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Título

Correlation functions in the non-relativistic AdS/CFT correspondence

AutorFuertes, Carlos A. ; Moroz, Sergej
Fecha de publicación15-may-2009
EditorAmerican Physical Society
CitaciónPhysical review D: Particles and fields 79(10): 106004.1-106004.19 (2009)
ResumenWe 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.
Descripción19 pages, 6 figures, 1 appendix.-- Pre-print archive.-- PACS numbers: 11.25.Tq, 03.75.Ss
Versión del editorhttp://dx.doi.org/10.1103/PhysRevD.79.106004
URIhttp://hdl.handle.net/10261/17796
DOI10.1103/PhysRevD.79.106004
ISSN0556-2821
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