Universal magnetoresponse in QCD and $\mathcal{N}=4$ SYM

Understand

Using recent lattice data on the thermodynamics of QCD in the presence of a background magnetic field, we show that the ratio of transverse to longitudinal pressure exhibits, to good accuracy, a simple scaling behavior over a wide range of temperature and magnetic field, essentially depending only on the ratio $T/\sqrt B$.

• We compare this QCD response to the corresponding magnetoresponse in maximally supersymmetric Yang Mills theory.
• Given suitable calibrations defining the comparison, we find excellent agreement.
• This may be viewed as a further test of the applicability of holographic models for hot QCD.