论文标题

来自Lightcone Hamiltonian的Anyon散射:Singlet频道

Anyon Scattering from Lightcone Hamiltonian: the Singlet Channel

论文作者

Gabai, Barak, Sandor, Joshua, Yin, Xi

论文摘要

我们研究了$ u(n)$ chern-simons理论,结合了灯塔汉密尔顿形式主义中的巨大基本费用。为了关注平面限制,我们引入了一致的正则化方案,确定恢复相对主义不变性所需的反条款,并根据明确定义的渐近状态来制定散射理论。我们通过将lippmann-Schinginger方程求解到所有订单中,确定了单元频道中的$ 2 \ 2 $平面S-Matrix元素,建立了先前在文献中提出的结果

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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