Energy momentum tensor correlators in hot Yang-Mills theory: holography confronts lattice and perturbation theory

Abstract

Abstract:We investigate the behavior of energy momentum tensor correlators in strongly coupled large-N c Yang-Mills theory at nonzero temperature, working within the Improved Holographic QCD model. In particular, we determine the spectral functions and corresponding imaginary time correlators in the bulk and shear channels, and compare the results to recent perturbative and lattice calculations where available. For the bulk channel imaginary time correlator, for which all three results exist, lattice data is seen to favor the holographic prediction over the perturbative one over a wide range of temperatures.

On the infrared behavior of the shear spectral function in hot Yang-Mills theory

“…This behavior is in practice identical to the results obtained in [24] using an IR cut-off, leaving all earlier comparisons with corresponding lattice and AdS results (see e.g. [38,40]) unchanged.…”

“…In addition, we will also revisit the unresummed calculation of [24], performing a completely independent evaluation of the shear spectral function. These exercises are not only important for the sake of academic interest, but our motivation is also to aid the eventual extraction of the shear viscosity from Euclidean lattice data and to facilitate more accurate comparisons with recent lattice and AdS/CFT calculations [32][33][34][35][36][37][38].…”

Massive holographic QCD in the Veneziano limit

“…Recall, for example, that the UV asymptotics of the pressure and the UV asymptotics of the correlators for the energy momentum tensor give slightly different numbers for the normalization of the glue action [147].…”

Thermal spectrum of pseudo-scalar glueballs and Debye screening mass from holography

“…Interesting analytical and numerical results for the thermal behavior of the plasma were obtained also in [20][21][22][23][24][25][26]. For example, in ref.…”