QCD in strong magnetic fields: fluctuations of conserved charges and EoS

TL;DR

This paper investigates how strong magnetic fields influence the thermodynamics and conserved charge fluctuations in QCD matter, proposing sensitive probes and connecting lattice results with experimental data from heavy-ion collisions.

Contribution

It introduces new magnetic-field-sensitive observables based on lattice QCD simulations and develops HRG proxies to relate theory with experimental measurements.

Findings

Charge correlations and chemical potential ratios increase significantly at high magnetic fields.

Constructed HRG proxies emulate experimental detector acceptances.

Revealed non-monotonic behavior in thermodynamic coefficients under strong magnetic fields.

Abstract

Strong magnetic fields can profoundly affect the equilibrium properties, characterized by the equation of state and bulk thermodynamics of strongly interacting matter. Although such fields are expected in off-central heavy-ion collisions, directly measuring their experimental imprints remains extremely challenging. To address this, we propose the baryon-electric charge correlations $\chi^{\rm BQ}_{11}$ and the chemical potential ratio $\mu_{\rm Q}/\mu_{\rm B}$ as magnetic-field-sensitive probes, based on (2+1)-flavor QCD lattice simulations at physical pion masses. Along the transition line, $\chi^{\rm BQ}_{11}$ and $(\mu_{\rm Q}/\mu_{\rm B})_{\rm LO}$ in Pb-Pb collisions increase by factors of 2.1 and 2.4 at $eB \simeq 8M_\pi^2$, respectively. To bridge theoretical predictions and experimental observations, we construct HRG-based proxies and apply systematic kinematic cuts to emulate STAR and ALICE detector acceptances. Furthermore, we extend this investigation to the QCD equation of state, and examine the leading-order thermodynamic coefficients for strangeness-neutral scenarios up to $eB \simeq 0.8 {\rm GeV}^2 \sim 45 m_{\pi}^2$, revealing intriguing non-monotonic structures.