Abstract
We study QCD in 1 + 1 dimensions in the large N c limit using light-front Hamiltonian perturbation theory in the 1 / N c expansion. We use this formalism to exactly compute hadronic transition matrix elements for arbitrary currents at leading order in 1 / N c , which we use to write the semileptonic differential decay rate of a heavy meson and its moments. We then compare with the results obtained using an effective field theory approach based on perturbative factorization, with the intention of better understanding quark-hadron duality. A very good numerical agreement is obtained between the exact result and the result using effective theories.
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