A lightcone Hamiltonian method diagonalizes large-N vector-like gauge theories in 2+1 dimensions exactly, giving explicit eigenstates, spectral densities, and scattering amplitudes.
A solution of 2D QCD at Finite $N$ using a conformal basis
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abstract
We study 2D QCD with a fundamental fermion at small-$N$ using the recently proposed conformal basis approach. We find that effective conformal dominance still holds, namely that the spectrum converges efficiently, with high scaling-dimension operators decoupling exponentially quickly from the stable single-particle states. Consequently, for these stable bound states, accurate, analytic expressions for wavefunctions and parton distribution functions can be given, even for $N=3$.
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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.