Correlation Functions in Non-Relativistic Holography
Anastasia Volovich,Congkao Wen +1 more
TLDR
In this paper, the gravity side is used to calculate n-point correlation functions of scalar fields by reducing the computation to that in ordinary AdS space via a particular Fourier transform.Abstract:
Recently constructed gravity solutions with Schrodinger symmetry provide a new example of AdS/CFT-type dualities for the type of non-relativistic field theories relevant to certain cold atom systems. In this paper we use the gravity side to calculate n-point correlation functions of scalar fields by reducing the computation to that in ordinary AdS space via a particular Fourier transform. We evaluate the relevant integrals for 3- and 4-point functions and show that the results are consistent with the requirements of Schrodinger invariance, the implications of which we also work out for general n-point functions.read more
Citations
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Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
Christian H. Schunck,S. M. F. Raupach,Martin Zwierlein,Claudiu A. Stan,Andrew J. Kerman,Wolfgang Ketterle +5 more
TL;DR: Bose-Einstein condensation of pairs of fermionic atoms in an ultracold 6Li gas at magnetic fields above a Feshbach resonance, where no stable 6Li2 molecules would exist in vacuum is observed.
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The Black hole and FRW geometries of non-relativistic gravity
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Topological Black Holes in Horava-Lifshitz Gravity
TL;DR: In this article, a duality in Hawking temperature between topological black holes in Horcava-Lifshitz theory and Einstein's general relativity was shown. But the duality was not shown for the case of topological charged black holes with a constant scalar curvature.
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Thermodynamics of black holes in Horava-Lifshitz gravity
TL;DR: In this paper, the mass and entropy of the black holes with general dynamical coupling constant were obtained in Horava-Lifshitz gravity in the HOG model, and it was shown that these black holes are thermodynamically stable in some parameter space and unstable in other parameter space.
References
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Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
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Anti De Sitter Space And Holography
TL;DR: In this article, it was shown that the Kaluza-Klein modes of Type IIB supergravity on $AdS_5\times {\bf S}^5$ match with the chiral operators of the super Yang-Mills theory in four dimensions.
Journal ArticleDOI
Gauge Theory Correlators from Non-Critical String Theory
TL;DR: In this paper, a boundary of the anti-deSitter space analogous to a cut-off on the Liouville coordinate of the two-dimensional string theory is introduced to obtain certain Green's functions in 3+1-dimensional N = 4 supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory.
Posted Content
Anti de sitter space and holography
TL;DR: In this article, a correspondence between conformal field theory observables and those of supergravity was proposed, where correlation functions in conformal fields are given by the dependence of the supergravity action on the asymptotic behavior at infinity.