Symmetry restoration at high-temperature in two-color and two-flavor lattice gauge theories

Understand

We consider the $SU(2)$ gauge theory with $N_f=2$ flavors of Dirac fundamental fermions.

• We study the high-temperature behavior of the spectra of mesons, discretizing the theory on anisotropic lattices, and measuring the two-point correlation functions in the temporal direction as well as screening masses in various channels.
• We identify the (pseudo-)critical temperature as the temperature at which the susceptibility associated with the Polyakov loop has a maximum.
• At high temperature both the spin-1 and spin-0 sectors of the light meson spectra exhibit enhanced symmetry properties, indicating the restoration of both the global $SU(4)$ and the axial $U(1)_A$ symmetries of the model.