The emphasis of Wegner's scientific work is
statistical physics, in particular the theory of
phase transitions and the
renormalization group. The eponymous "Wegner exponent" is of fundamental importance for the purpose of describing corrections to asymptotic scale invariance in close proximity to phase transitions. Wegner also "invented" the foundational
lattice gauge theoretical models. The method developed from Wegner's foundational work is nowadays intensively used in simulations of
quantum chromodynamics. ==Accolades==