Exploring Hamiltonian Truncation in $\bf{d=2+1}$

Understand

We initiate the application of Hamiltonian Truncation methods to solve strongly coupled QFTs in $d=2+1$.

• By analysing perturbation theory with a Hamiltonian Truncation regulator, we pinpoint the challenges of such an approach and propose a way that these can be addressed.
• This enables us to formulate Hamiltonian Truncation theory for $\phi^4$ in $d=2+1$, and to study its spectrum at weak and strong coupling.
• The results obtained agree well with the predictions of a weak/strong self-duality possessed by the theory.