A lightcone Hamiltonian method diagonalizes large-N vector-like gauge theories in 2+1 dimensions exactly, giving explicit eigenstates, spectral densities, and scattering amplitudes.
Anyon Scattering from Lightcone Hamiltonian: the Singlet Channel
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abstract
We study $U(N)$ Chern-Simons theory coupled to massive fundamental fermions in the lightcone Hamiltonian formalism. Focusing on the planar limit, we introduce a consistent regularization scheme, identify the counter terms needed to restore relativistic invariance, and formulate scattering theory in terms of unambiguously defined asymptotic states. We determine the $2\to 2$ planar S-matrix element in the singlet channel by solving the Lippmann-Schwinger equation to all orders, establishing a result previously conjectured in the literature
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Hamiltonian Truncation of Large $N_f$ QED and Large $N$ Vector-like Theories in $d=2+1$
A lightcone Hamiltonian method diagonalizes large-N vector-like gauge theories in 2+1 dimensions exactly, giving explicit eigenstates, spectral densities, and scattering amplitudes.