Renormalization in 1D Quantum Mechanics: contact interactions
Luis J Boya, Alejandro Rivero
Abstract
We build a toy model of the Wilson-Kogut renormalization group in one dimensional Quantum Mechanics. With it, we show how the RG flow in the space of 1-D S matrices of finite range defines, as renormalized interactions, the known four parametric set of contact interactions, thus providing a suitable framework for its study.
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