Universal magnetoresponse in QCD and N = 4 SYM


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.

Conformal Field Theory, Gauge-gravity correspondence, Lattice QCD, Quark-Gluon Plasma
Endrődi, G., Kaminski, M., Schäfer, A., Wu, J., & Yaffe, L. (2018). Universal magnetoresponse in QCD and $ \mathcal{N}=4 $ SYM. In Journal of High Energy Physics (Vol. 2018, Issue 9). Springer Science and Business Media LLC. https://doi.org/10.1007/jhep09(2018)070