Finite temperature spectral densities of momentum and R -charge correlators in N = 4 Yang-Mills theory

By D. Teaney. 2006

142 citations recorded by the source corpus.

We compute spectral densities of momentum and $R$-charge correlators in thermal $\mathcal{N}=4$ Yang-Mills theory at strong coupling. For $\ensuremath{\omega}\ensuremath{\sim}T$ and smaller, the spectral density differs markedly from perturbation theory; there is no kinetic theory peak. For large $\ensuremath{\omega}$, the spectral density oscillates around the zero temperature result with an exponentially decreasing amplitude. Contrast this with QCD where the spectral density of the current-current correlator approaches the zero temperature result like $(T/\ensuremath{\omega}{)}^{4}$. This difference is related to the absence of cuts in the retarded Green function in $\mathcal{N}=4$ Yang-Mills theory at strong coupling. Despite these marked differences with perturbation theory, in Euclidean space-time the correlators differ by only $\ensuremath{\sim}10%$ from the free result. The implications for lattice QCD measurements of transport are discussed.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ec87451962bc1b53e4278dfce3150dd7bf89b774

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In Nuclear and High Energy Physics

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Citations in the corpus

• Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, background): “As we will see, the presence of quasiparticles leads to a narrow structure (the transport peak) in these spectral functions [215,216].”
• Photon and dilepton production in supersymmetric Yang-Mills plasma (2006, background): “[13, 14], explicitly showing that strongly coupled SYM theory behaves much more like a liquid, rather than a weakly interacting gas of quasi-particles.”
• Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, methodology): “The spectral function in the strong coupling limit was computed in [239, 240].”
• Holographic spectral functions and diffusion constants for fundamental matter (2007, methodology): “3 A simple example: spectral function of R currents in N = 4 SYM Correlators of R-currents in strongly coupled N = 4 SU(Nc) supersymetric Yang-Mills (SYM) theory at large Nc were previously studied by means of the AdS/CFT correspondence both at zero [31, 32] and finite temperature [16, 33, 29, 30, 1”
• Holographic meson melting (2006, methodology): “A holographic interpretation of the quasinormal modes in the case of the planar AdS black hole as poles in retarded Greens functions has been given in [24].”
• Electrical conductivity and charge diffusion in thermal QCD from the lattice (2014, background): “Since the diffusion coefficient can also be computed in strongly coupled theories that permit a holographic prescription, with the characteristic result that D = 1/(2πT ) in N = 4 YangMills theory at nonzero temperature [32–34], this direct computation allows us to compare QCD with strongly coupled ”
• Thermal transport and drag force in improved holographic QCD (2009, methodology): “So far there have been two approaches that have calculated the bulk viscosity in YM/QCD, [8–11] and have both indicated that the bulk viscosity rises near the phase transition as naive expectation would suggest.”