Quantum multicriticality and emergent symmetry in Dirac systems with two order parameters at three-loop order
respectively. To that end, we employ the perturbative renormalization group up to three-loop order in 4-ε spacetime dimensions. We distinguish two key scenarios: (i) The two orders are compatible as characterized [...] flavors. Moreover, we extract the series expansion of the leading critical exponents for the chiral SO(4) and SO(5) models up to third order in ε. Notably, we find a tendency towards rapidly growing expansion [...] orders, rendering an extrapolation to ε=1 difficult. For the second scenario, we study a model with SO(4)≃SO(3)×SO(3) symmetry, which was recently suggested to describe criticality of antiferromagnetism and …
