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

arXiv comment33 pages, 9 figures

References in corpus (12)

• Anyons in an exactly solved model and beyond
• Chern-Simons Theory with Vector Fermion Matter
• d=3 Bosonic Vector Models Coupled to Chern-Simons Gauge Theories
• Baryons, monopoles and dualities in Chern-Simons-matter theories
• String Spectrum of 1+1-Dimensional Large N QCD with Adjoint Matter
• The Thermal Free Energy in Large N Chern-Simons-Matter Theories
• $1+1$-Dimensional Large $N$ QCD coupled to Adjoint Fermions
• Chern Simons duality with a fundamental boson and fermion
• Unitarity, Crossing Symmetry and Duality of the S-matrix in large N Chern-Simons theories with fundamental matter
• Exact Symmetries and Threshold States in Two-Dimensional Models for QCD
• Large N Chern-Simons with massive fundamental fermions - A model with no bound states
• Conformal Truncation of Chern-Simons Theory at Large $N_f$

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