Multicritical behavior in models with two competing order parameters

Understand

We employ the nonperturbative functional Renormalization Group to study models with an O(N_1)+O(N_2) symmetry.

• Here, different fixed points exist in three dimensions, corresponding to bicritical and tetracritical behavior induced by the competition of two order parameters.
• We discuss the critical behavior of the symmetry-enhanced isotropic, the decoupled and the biconical fixed point, and analyze their stability in the N_1, N_2 plane.
• We study the fate of non-trivial fixed points during the transition from three to four dimensions, finding evidence for a triviality problem for coupled two-scalar models in high-energy physics.