Hot Quark Matter with an Axial Chemical Potential

We analyze the phase diagram of hot quark matter in presence of an
axial chemical potential, µ5. The latter is introduced to
mimic the chirality transitions induced, in hot Quantum
Chromodynamics, by the strong sphaleron configurations. In
particular, we study the curvature of the critical line
at small µ5, the effects of a finite quark mass and of a
vector interaction. Moreover, we build the mixed phase at the
first order phase transition line, and draw the phase diagram in
the chiral density and temperature plane. We finally
compute the full topological susceptibility in presence of a
background of chiral charge.