Metraipolis › archive › dc_ea6466ce13ca

Pathology-Free Real-Space Renormalization Group Theory on an Inverse Limit Space — arXiv:2609.18356

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.18356
License (as archived): CC0-1.0
Archived: 2026-10-15T17:54:19.171Z
SHA-256 of the archived text: 194ba3db511d9d6e6b5e8b61cbc83e95c0ce923af5f7f4171a9af4716c34332a
Stable URL of this page: https://metraipolis.com/documento/dc_ea6466ce13ca

How to cite

Pathology-Free Real-Space Renormalization Group Theory on an Inverse Limit Space — arXiv:2609.18356 — arXiv (en), https://arxiv.org/abs/2609.18356 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_ea6466ce13ca (Metraipolis archive dc_ea6466ce13ca, sha256 194ba3db511d9d6e6b5e8b61cbc83e95c0ce923af5f7f4171a9af4716c34332a)

BibTeX

@misc{dcea6466ce13ca,
  title = {Pathology-Free Real-Space Renormalization Group Theory on an Inverse Limit Space — arXiv:2609.18356},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.18356},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_ea6466ce13ca; sha256 194ba3db511d9d6e6b5e8b61cbc83e95c0ce923af5f7f4171a9af4716c34332a},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.18356. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

It has been over fifty years since Kenneth Wilson had his Nobel-prize-winning ideas on the renormalization group. In this time frame, despite many attempts, no mathematical results have implemented Wilson's vision to a satisfactory degree. Although a number of predictions stemming from the renormalization group framework have been proven to date, these proofs usually rely on alternative ideas and do not cover the full predictive power of Wilson's renormalization group. The discovery of pathologies within rigorous implementations of renormalization group transformations have further reduced the enthusiasm of the mathematics community for this subject. This paper presents a novel framework to implement Wilson's original idea in a rigorous manner based on inverse limits of finite systems. Doing so, one avoids these pathologies and hence obtains a mathematically sound framework for Wilson's renormalization group. This opens up a completely new path to tackle some of the existing problems in rigorous renormalization group theory like the existence of non-trivial fixed points.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-17 in cond-mat.stat-mech).
Categorie arXiv: Mathematical Physics (math-ph) ; Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Lattice (hep-lat).
Pagina del lavoro: https://arxiv.org/abs/2609.18356 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-15T17:06:03.932Z dalla pagina https://arxiv.org/catchup/cond-mat.stat-mech/2026-09-17?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).