English

Renormalization in 1D Quantum Mechanics: contact interactions

High Energy Physics - Theory 2009-09-25 v1

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.

Keywords

Cite

@article{arxiv.hep-th/9411081,
  title  = {Renormalization in 1D Quantum Mechanics: contact interactions},
  author = {Luis J Boya and Alejandro Rivero},
  journal= {arXiv preprint arXiv:hep-th/9411081},
  year   = {2009}
}

Comments

Four figures not included (but two of them sketched)

R2 v1 2026-07-22T15:52:24.576Z