10 research outputs found
Poles in the -Matrix of Relativistic Chern-Simons Matter theories from Quantum Mechanics
An all orders formula for the -matrix for 2 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
-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 -matrix obtained from this
Schroedinger equation agrees perfectly with this scaling limit of the
relativistic -matrix; in particular the pole structures match exactly. We
view this matching as a nontrivial consistency check of the conjectured field
theory -matrix.Comment: 12 pages, minor correction