Anyon scattering from lightcone Hamiltonian: the singlet channel
Journal of High Energy Physics(2022)
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 → 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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Key words
1/N Expansion,Anyons,Chern-Simons Theories,Scattering Amplitudes
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