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Anyon Scattering from Lightcone Hamiltonian: the Singlet Channel

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arxiv 2205.09144 v1 pith:QGTSDIS5 submitted 2022-05-18 hep-th cond-mat.str-el

Barak Gabai , Joshua Sandor , Xi Yin This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords channelhamiltonianlightconeplanarscatteringsinglettermstheory
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Hamiltonian Truncation of Large $N_f$ QED and Large $N$ Vector-like Theories in $d=2+1$

    hep-th 2025-07 accept novelty 6.0 of 10

    A lightcone Hamiltonian method diagonalizes large-N vector-like gauge theories in 2+1 dimensions exactly, giving explicit eigenstates, spectral densities, and scattering amplitudes.

  2. Multiparticle States for the Flat Hologram

    hep-th 2024-12 conditional novelty 6.0 of 10

    The paper defines and constructs composite or multiparticle primary operators for Carrollian and celestial CFTs using OPE blocks and momentum-space partial waves, extending the flat-space dictionary beyond single-part...

  3. 3d $\mathcal{N}=4$ Mirror Symmetry, TQFTs, and 't Hooft Anomaly Matching

    hep-th 2024-12 conditional novelty 6.0 of 10

    Universal mass deformations of 3d N=4 Abelian gauge theories flow to Abelian spin Chern-Simons TQFTs, with mirror symmetry descending to proven level-rank dualities and 't Hooft anomalies matched via vison fractionalization.

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