Second order chiral phase transition in three flavor quantum chromodynamics?

Understand

We calculate the renormalization group flows of all perturbatively renormalizable interactions in the three-dimensional Ginzburg-Landau potential for the chiral phase transition of three-flavor quantum chromodynamics.

• On the contrary to the common belief we find a fixed point in the system that is able to describe a second-order phase transition in the infrared.
• This shows that long-standing assumptions on the transition order might be false.
• If the transition is indeed of second-order, our results may hint that the axial $U(1)$ symmetry restores at the transition temperature.