Frustrated magnets are a notorious example where usual perturbative methods
fail. Having recourse to an exact renormalization group approach, one gets
a coherent picture of the physics of Heisenberg frustrated magnets everywh
ere between d = 2 and d = 4: all known perturbative results are recovered i
n a single framework, their apparent conflict is explained while the descri
ption of the phase transition in d = 3 is found to be in good agreement wit
h the experimental context.