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 $d=2\mathrm{}$ and $d=4\mathrm{}$. We recover all known perturbative results in a single framework and find the transition to be weakly of first order in $d=3\mathrm{}$. We compute effective exponents that are in good agreement with numerical and experimental data.