Finite-density QCD transition in magnetic field background

by Andrey Kotov (Institute for Theoretical and Experimental Physics)


In this talk we discuss the influence of magnetic-field background on chiral and deconfinement crossovers in finite-temperature QCD at low

baryonic density. To address this problem we perform numerical simulation of lattice QCD with 2+1 physical quark masses at nonzero

temperature, magnetic field and imaginary chemical potential. Results for real values of chemical potential are obtained by means of

analytical continuation. In the absence of thermodynamic singularity, we identify the phase transitions with inflection points of the

approximate order parameters: normalized light-quark condensate and renormalized Polyakov loop, respectively.

We show that the quadratic curvature of the chiral transition temperature in the temperature-chemical potential plane depends rather weakly

on the strength of the background magnetic field. At weak magnetic fields, the thermal width of the chiral crossover gets narrower as the

density of the baryon matter increases, possibly indicating a proximity to a real thermodynamic phase transition. Remarkably, the curvature

of the chiral thermal width flips its sign at $eB_{\text{fl}} \simeq 0.6\,\mathrm{GeV}^2$, so that above the flipping point $B >

B_{\text{fl}}$, the chiral width gets wider as the baryon density increases. Approximately at the same strength of magnetic field, the

chiral and deconfining crossovers merge together at $T \approx 140\,\mathrm{MeV}$. The phase diagram in the parameter space

temperature-chemical potential-magnetic field is outlined.


The talk is based on the paper arXiv:1909.09547.