Holographic real-time non-relativistic correlators at zero and finite temperature - High Energy Physics - TheoryReport as inadecuate




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Abstract: We compute a variety of two and three-point real-time correlation functionsfor a strongly-coupled non-relativistic field theory. We focus on the theoryconjectured to be dual to the Schr\-{o}dinger-invariant gravitational spacetimeintroduced by Balasubramanian, McGreevy, and Son, but our methods apply to alarge class of non-relativistic theories. At zero temperature, we obtaintime-ordered, retarded, and Wightman non-relativistic correlators for scalaroperators of arbitrary conformal dimension directly in field theory by applyinga certain lightlike Fourier transform to relativistic conformal correlators,and we verify that non-relativistic AdS-CFT reproduces the results. We computethermal two and three-point real-time correlators for scalar operators dual toscalar fields in the black hole background which is the finite temperaturegeneralization of the Schr\-{o}dinger spacetime. This is done by firstidentifying thermal real-time bulk-to-boundary propagators, which combined withVeltman-s circling rules, yield two and three-point correlators. The two-pointcorrelators we obtain satisfy the Kallen-Lehmann relations. We also giveretarded and time-ordered three-point correlators.



Author: Edwin Barnes, Diana Vaman, Chaolun Wu

Source: https://arxiv.org/







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