English

QGP universality in a magnetic field?

High Energy Physics - Theory 2020-07-15 v2

Abstract

We use top-down holographic models to study the thermal equation of state of strongly coupled quark-gluon plasma in external magnetic field. We identify different conformal and non-conformal theories within consistent truncations of N=8{\cal N}=8 gauged supergravity in five dimensions (including STU models, gauged N=2{\cal N}=2^* theory) and show that the ratio of the transverse to the longitudinal pressure PT/PLP_T/P_L as a function of T/BT/\sqrt{B} can be collapsed to a 'universal' curve for a wide range of the adjoint hypermultiplet masses mm. We stress that this does not imply any hidden universality in magnetoresponse, as other observables do not exhibit any universality. Instead, the observed collapse in PT/PLP_T/P_L is simply due to a strong dependence of the equation of state on the (freely adjustable) renormalization scale: in other words, it is simply a fitting artifact. Remarkably, we do uncover a different universality in N=2{\cal N}=2^* gauge theory in the external magnetic field: we show that magnetized N=2{\cal N}=2^* plasma has a critical point at Tcrit/BT_{crit}/\sqrt{B} which value varies by 2%2\% (or less) as m/B[0,)m/\sqrt{B}\in [0,\infty). At criticality, and for large values of m/Bm/\sqrt{B}, the effective central charge of the theory scales as B/m\propto \sqrt{B}/m.

Keywords

Cite

@article{arxiv.2004.01583,
  title  = {QGP universality in a magnetic field?},
  author = {Alex Buchel and Bruno Umbert},
  journal= {arXiv preprint arXiv:2004.01583},
  year   = {2020}
}

Comments

42 pages, 8 figures; v2: JHEP version

R2 v1 2026-06-23T14:38:21.911Z