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.
Yamamoto, Phys
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abstract
We perform a first lattice QCD simulation including two-flavor dynamical fermion with a chiral chemical potential. Because the chiral chemical potential gives rise to no sign problem, we can exactly analyze a chirally imbalanced QCD matter by the Monte Carlo simulation. By applying an external magnetic field to this system, we obtain a finite induced current along the magnetic field, which corresponds to the chiral magnetic effect. The obtained induced current is proportional to the magnetic field and to the chiral chemical potential, which is consistent with an analytical prediction.
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The chiral magnetic effect is the anomaly of the transverse axial vector Ward identity, which enforces a universal conductivity of 1/(2π²) robust against external parameters and interactions.
Axial anomaly form is unchanged in dense matter via Ward identity cancellation, yielding a Fermi-velocity-suppressed persistent chiral magnetic current set by axial chemical potential.
A pedagogical review of lattice QCD results on the thermodynamics of hot, dense, and magnetized QCD matter with an outlook on open questions.
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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.
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Chiral Magnetic effect as the anomaly in the transverse axial vector Ward Identity
The chiral magnetic effect is the anomaly of the transverse axial vector Ward identity, which enforces a universal conductivity of 1/(2π²) robust against external parameters and interactions.
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Revisiting the Axial Anomaly and Chiral Magnetic Effect in Dense Matter, with Applications to Axion Dark Matter
Axial anomaly form is unchanged in dense matter via Ward identity cancellation, yielding a Fermi-velocity-suppressed persistent chiral magnetic current set by axial chemical potential.
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Thermodynamics of magnetized matter in hot and dense QCD
A pedagogical review of lattice QCD results on the thermodynamics of hot, dense, and magnetized QCD matter with an outlook on open questions.