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Spectral Renormalization Group

Mathematical Physics 2009-07-17 v1 Functional Analysis math.MP Spectral Theory

Abstract

The operator-theoretic renormalization group (RG) methods are powerful analytic tools to explore spectral properties of field-theoretical models such as quantum electrodynamics (QED) with non-relativistic matter. In this paper these methods are extended and simplified. In a companion paper, our variant of operator-theoretic RG methods is applied to establishing the limiting absorption principle in non-relativistic QED near the ground state energy

Keywords

Cite

@article{arxiv.0811.2616,
  title  = {Spectral Renormalization Group},
  author = {Juerg Froehlich and Marcel Griesemer and Israel Michael Sigal},
  journal= {arXiv preprint arXiv:0811.2616},
  year   = {2009}
}

Comments

42 pages, 3 figures

R2 v1 2026-06-21T11:42:18.195Z