Anyon Scattering from Lightcone Hamiltonian: the Singlet Channel

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

33 pages, 9 figures

References in corpus (2)

• Unitarity, Crossing Symmetry and Duality of the S-matrix in large N Chern-Simons theories with fundamental matter
• Large N Chern-Simons with massive fundamental fermions - A model with no bound states

Cited by in corpus (3)

• Line operators in Chern-Simons-Matter theories and Bosonization in Three Dimensions II -Perturbative Analysis and All-loop Resummation
• Crossing Symmetry in Matter Chern-Simons Theories at finite $N$ and $k$
• Natural Boundaries for Scattering Amplitudes