  The functional renormalization group (FRG) is a non-perturbative method that
considers quantum and thermal fluctuations. Using the FRG flow equations, the
critical region of the two-flavor quark-meson model in a finite isospin
chemical potential with omega and rho vector mesons interactions is
investigated in this work. We also use the traditional mean-field method to
calculate the phase diagram in the chiral limit for comparison. The results
show that the influences of the omega meson and rho meson on the phase
structure are quite different. The existence of the isospin chemical potential
also causes significant changes in the phase structure.
