Lattice QCD yields first-principles splitting ratios for chemical potentials in Ru+Ru vs Zr+Zr collisions that are comparable in size to Bayesian STAR extractions, with Δμ_Q negative, Δμ_S positive, and only moderate magnetic-field dependence.
Electric-current Susceptibility and the Chiral Magnetic Effect
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abstract
We compute the electric-current susceptibility \chi of hot quark-gluon matter in an external magnetic field B. The difference between the susceptibilities measured in the directions parallel and perpendicular to the magnetic field is ultraviolet finite and given by \chi^\parallel-\chi^\perp = VTN_c\sum_f q_f^2 |q_f B|/(2\pi^2), where V denotes the volume, T the temperature, N_c the number of colors, and q_f the charge of a quark of flavor f. This non-zero susceptibility difference acts as a background to the Chiral Magnetic Effect, i.e. the generation of electric current along the direction of magnetic field in the presence of topological charge. We propose a description of the Chiral Magnetic Effect that takes into account the fluctuations of electric current quantified by the susceptibility. We find that our results are in agreement with recent lattice QCD calculations. Our approach can be used to model the azimuthal dependence of charge correlations observed in heavy ion collisions.
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In SU(2) lattice QCD at finite density, the chiral magnetic effect from axial-vector correlators remains close to the free massless quark value with weak T and mu dependence in the plasma, while negative magnetoresistance from vector correlators is strongly suppressed at high density or temperature.
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Isospin-Driven Splitting of Chemical Potentials in Isobar Collisions from Lattice QCD
Lattice QCD yields first-principles splitting ratios for chemical potentials in Ru+Ru vs Zr+Zr collisions that are comparable in size to Bayesian STAR extractions, with Δμ_Q negative, Δμ_S positive, and only moderate magnetic-field dependence.
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Chiral Magnetic Effect and Negative Magnetoresistance across the phase diagram of finite-density SU(2) gauge theory
In SU(2) lattice QCD at finite density, the chiral magnetic effect from axial-vector correlators remains close to the free massless quark value with weak T and mu dependence in the plasma, while negative magnetoresistance from vector correlators is strongly suppressed at high density or temperature.