Hamiltonian truncation of large Nf QED and large N vector-like theories in d = 2 + 1

A

bstract

We consider a general class of large N vector-like theories in d = 2 + 1 in a Hamiltonian approach. We show that by using lightcone quantization and the N → ∞ limit, we can diagonalize the Hamiltonian exactly and construct the eigenstates, spectral density, S-matrix, and form factors for the theory. For concreteness, we mainly focus on QED ₃ at large N _f as an explicit example. We comment on extending the approach to finite N calculations.