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Correlation functions in the nonrelativistic AdS/CFT correspondence
Universidad Autónoma de Madrid, ESP.
Institut für Theoretische Physik der Universität Heidelberg, DEU.ORCID iD: 0000-0002-4615-2507
2009 (English)In: Physical Review D, ISSN 1550-7998, E-ISSN 1550-2368, Vol. 79, no 10Article in journal (Refereed) Published
Abstract [en]

We study the correlation functions of scalar operators in the theory defined as the holographic dual of the Schrodinger 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 Schrodinger 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.

Place, publisher, year, edition, pages
American Physical Society, 2009. Vol. 79, no 10
National Category
Subatomic Physics
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-87191DOI: 10.1103/PhysRevD.79.106004ISI: 000266501900111OAI: oai:DiVA.org:kau-87191DiVA, id: diva2:1624829
Available from: 2022-01-05 Created: 2022-01-05 Last updated: 2023-06-20Bibliographically approved

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Moroz, Sergej

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