After commitments through April, 2012, there are no unexpended funds in the budget. P. Arnold and D. Vaman (joint work) Over the last three years, one of the major thrusts of both P. Arnold and D. Vaman's research has been a joint project on using gauge-gravity duality to discover qualitatively new results on jet quenching in strongly-coupled QCD-like plasmas. Our joint work also covers some spin-offs, made possible by the technical methods we developed, related to 2nd-order hydrodynamics of

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... h plasmas. This section of the proposal discusses our joint work; our separate, independent projects will be covered in later sections. We will try to keep our overview of past work relatively broad and hopefully accessible. Readers desiring more detailed discussion of the main results may find useful sections I and II of ref. [AV2] and section I of ref. [AV3]. (See the publication list on p. 9 for references to our own recent work, labeled here as AV1, AV2, ... to indicate Arnold-Vaman-1, etc.) Though our work was originally motivated by a particular application, the work produced general theoretical progress on applying gauge-gravity duality to real-time finite-temperature problems. Specifically, we have developed a simple practical procedure for directly computing 3-point (and higher-point) real-time finite-temperature correlation functions with gauge-gravity duality. Previously, there was a great deal of work in the literature on how to compute 2-point real-time correlators at finite temperature, used to find viscosity and many other properties of stronglycoupled QCD-like plasmas with gravity duals, but it was unclear how to practically implement any of the suggestions in the literature relevant to 3-point correlators. (We will explain below what 3-point correlators have to do with jet quenching and other applications.) Publications for work completed in last 3 years of contract (See p. 9 for publications with Vaman.) [A1] P. Arnold, S. Cantrell, and W. Xiao, Stopping distance for high energy jets in weakly-coupled quark-gluon plasmas, Phys. Rev. D81 (2010) 045017 [arXiv:0912.3862]. [A2] P. Arnold, High-energy gluon bremsstrahlung in a finite medium: harmonic oscillator versus single scattering approximation, Phys. Rev. D80 (2009) 025004 [arXiv:0903.1081].