Abstract
We compute finite ’t Hooft coupling corrections to observables related to charged quantities in a strongly coupled mathcal{N} = 4 supersymmetric Yang-Mills plasma. The coupling corrected equations of motion of gauge fields are explicitly derived and differ from findings of previous works, which contained several small errors with large impact. As a consequence the mathcal{O}left(gamma right) -corrections to the observables considered, including the conductivity, quasinormal mode frequencies, in and off equilibrium spectral density and photoemission rates, become much smaller. This suggests that infinite coupling results obtained within AdS/CFT are little modified for the real QCD coupling strength.
Highlights
These α -corrected equations of motion were used to study the conductivity, the transport coefficient in this channel and the photoemmission rate, which give important information about the structure of the plasma
In contrast to previous works we find that the behaviour of the photoemission rate and spectral density at finite coupling agree with expectations from weak coupling calculations in both the small and, that is new, the large energy limit [7]
Let us turn to determining α -corrections to several observables such as the conductivity, photoemission rates, quasinormal mode spectra as well as in and off-equilibrium spectral densities
Summary
Let us start to consider higher derivative corrections to our theory. In type IIb SUGRA this means that we have to add terms of order α 3 to the action (3.2). We still do not have the EoMs in order O(γ) for the 4-form components This means that we still have to vary the action with respect to C4 and it makes a difference whether F5 = dC4 or F + enters γW. Where it turns out that up to a different y1, y2-dependence the directions tuyzyi with i ∈ {3, 4, 5} of F5 are identical, the same is valid for their dual partners This is great news, since we can reduce the entire coupled set of EoM for the 4-form components and the gauge field Aμ to a rather simple system of two coupled differential equations for Aμ and the xy2y4y5-component of C4.
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