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arXiv · 1407.1322

Poles in the $S$-Matrix of Relativistic Chern-Simons Matter theories from Quantum Mechanics

Yogesh Dandekar·Mangesh Mandlik·Shiraz Minwalla
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Abstract

An all orders formula for the $S$-matrix for 2 $\rightarrow$ 2 scattering in large N Chern-Simons theory coupled to a fundamental scalar has recently been conjectured. We find a scaling limit of the theory in which the pole in this $S$-matrix is near threshold. We argue that the theory must be well described by non-relativistic quantum mechanics in this limit, and determine the relevant Schroedinger equation. We demonstrate that the $S$-matrix obtained from this Schroedinger equation agrees perfectly with this scaling limit of the relativistic $S$-matrix; in particular the pole structures match exactly. We view this matching as a nontrivial consistency check of the conjectured field theory $S$-matrix.

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Yogesh Dandekar, Mangesh Mandlik, Shiraz Minwalla. 2015-02-12. Poles in the $S$-Matrix of Relativistic Chern-Simons Matter theories from Quantum Mechanics. https://doi.org/10.1007/jhep04(2015)102

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