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arXiv · 2205.09144

Anyon Scattering from Lightcone Hamiltonian: the Singlet Channel

Barak Gabai·Joshua Sandor·Xi Yin
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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

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Barak Gabai, Joshua Sandor, Xi Yin. 2022-05-18. Anyon Scattering from Lightcone Hamiltonian: the Singlet Channel. https://doi.org/10.1007/jhep09(2022)145

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