Frustrated Heisenberg magnets: A nonperturbative approach

Frustrated magnets are a notorious example of where usual perturbative methods fail. Using a nonperturbative Wilson-like approach, we get a coherent picture of the physics of frustrated Heisenberg magnets everywhere between d = 2 and d = 4. We recover all known perturbative results in a single framework and find the transition to be weakly of first order in d = 3. We compute effective exponents that are in good agreement with numerical and experimental data.