• finite temperature
• lattice QCD
• magnetic field
• Monte Carlo simulations

In a system composed by quasi-free fermions, initially chirally symmetric, it is possible to show that a strong magnetic field, in the presence of an imbalance of chirality, induces an electric dipole moment and then a current along the
magnetic field. This is called the "Chiral Magnetic Effect" (CME).
The Quark Gluon Plasma (a phase of extremely hot matter consisting of quarks and gluons) is, indeed, a chirally symmetric phase, where chirality imbalance can be induced by the presence of gluonic congurations with non trivial topology.
QGP can be created in heavy-ion collision, where the presence of a strong magnetic eld in non central collision can generate the CME.
In order to investigate the consequences of the CME in QGP, we will measure on the lattice the local correlations between the topological charge density and electric dipole moment of quarks, induced by a constant external magnetic field.
We will initially measure the local correlation close to the chiral limit. Then we will investigate the dependence of this correlation on the magnetic field and we will perform a simulation at higher temperature, extending the analysis done
until now in a fully deconfined phase of QCD.