Anyon Scattering from Lightcone Hamiltonian: the Singlet Channel
High Energy Physics - Theory
2022-10-19 v1 Strongly Correlated Electrons
Abstract
We study 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 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
Keywords
Cite
@article{arxiv.2205.09144,
title = {Anyon Scattering from Lightcone Hamiltonian: the Singlet Channel},
author = {Barak Gabai and Joshua Sandor and Xi Yin},
journal= {arXiv preprint arXiv:2205.09144},
year = {2022}
}
Comments
33 pages, 9 figures