Heavy flavor diffusion in weakly coupled N=4 Super Yang-Mills theory

Abstract

We use perturbation theory to compute the diffusion coefficient of a heavy quark or scalar moving in N=4 SU(N_c) Super Yang-Mills plasma to leading order in the coupling and the ratio T/M<<1. The result is compared both to recent strong coupling calculations in the same theory and to the corresponding weak coupling result in QCD. Finally, we present a compact and simple formulation of the Lagrangian of our theory, N=4 SYM coupled to a massive fundamental N=2 hypermultiplet, which is well-suited for weak coupling expansions.

22 pages, 4 figures; v3: error corrected in calculations, figures and discussion modified accordingly

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• Heavy quark diffusion in QCD and N=4 SYM at next-to-leading order
• The stress-energy tensor of a quark moving through a strongly-coupled N=4 supersymmetric Yang-Mills plasma: comparing hydrodynamics and AdS/CFT
• Debye screening in strongly coupled N=4 supersymmetric Yang-Mills plasma
• Acceleration, Energy Loss and Screening in Strongly-Coupled Gauge Theories
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• Synchrotron radiation in strongly coupled conformal field theories
• Thermalization at intermediate coupling
• Energy Loss of Gluons, Baryons and k-Quarks in an N=4 SYM Plasma
• On Stability and Transport of Cold Holographic Matter
• Hard thermal loops and the entropy of supersymmetric Yang-Mills theories
• Thermal string probes in AdS and finite temperature Wilson loops
• Heavy Quark Thermalization in Classical Lattice Gauge Theory: Lessons for Strongly-Coupled QCD
• Exact momentum fluctuations of an accelerated quark in N=4 super Yang-Mills
• An introduction to Thermal Field Theory and Some of its Application
• Remarks on Heavy-Light Mesons from AdS/CFT
• On the dispersion of fundamental particles in QCD and N=4 Super Yang-Mills theory
• N=4 Super Yang-Mills Plasma
• Collective Excitations of Supersymmetric Plasma
• Collisional Processes in Supersymmetric Plasma
• Holographic duality and mode stability of de Sitter space in semiclassical gravity
• Gauge/gravity duality and jets in strongly coupled plasma
• $q\bar{q}$ Potential at Finite T and Weak Coupling in $\mathcal{N}=4$