Correlation functions in the nonrelativistic AdS/CFT correspondence
- Instituto de Fisica Teorica IFT UAM/CSIC, Facultad de Ciencias C-XVI, C.U. Cantoblanco, E-28049 Madrid (Spain)
- Institut fuer Theoretische Physik, Philosophenweg 16, D-69120 Heidelberg (Germany)
We study the correlation functions of scalar operators in the theory defined as the holographic dual of the Schroedinger 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 Schroedinger 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.
- OSTI ID:
- 21296391
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 79, Issue 10; Other Information: DOI: 10.1103/PhysRevD.79.106004; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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