Renormalization in 1D Quantum Mechanics: contact interactions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

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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