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Scaling limit of the 3D abelian Yang--Mills Langevin dynamics — arXiv:2608.27828

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.27828
License (as archived): CC0-1.0
Archived: 2026-10-17T11:18:02.453Z
SHA-256 of the archived text: be9c00d7d233fc9c673354cfc41efbd4b9e81a91be75c21c1bd0efbaad4d235a
Stable URL of this page: https://metraipolis.com/documento/dc_db49a248edca

How to cite

Scaling limit of the 3D abelian Yang--Mills Langevin dynamics — arXiv:2608.27828 — arXiv (en), https://arxiv.org/abs/2608.27828 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_db49a248edca (Metraipolis archive dc_db49a248edca, sha256 be9c00d7d233fc9c673354cfc41efbd4b9e81a91be75c21c1bd0efbaad4d235a)

BibTeX

@misc{dcdb49a248edca,
  title = {Scaling limit of the 3D abelian Yang--Mills Langevin dynamics — arXiv:2608.27828},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.27828},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_db49a248edca; sha256 be9c00d7d233fc9c673354cfc41efbd4b9e81a91be75c21c1bd0efbaad4d235a},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.27828. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We study the continuum scaling limit of the Langevin dynamics for three-dimensional U(1) lattice Yang--Mills theory. The model is defined on the discrete 3D torus with a general class of plaquette actions that are suitably normalized, including Wilson, Manton, and Villain actions. Under the weak-coupling scaling and in the DeTurck gauge, we prove that the rescaled logarithmic field converges to the solution of the one-form stochastic heat equation in probability. In particular, the limiting dynamics are universal and do not depend on the higher-order details of the plaquette action.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-08-31 in math.PR).
Categorie arXiv: Probability (math.PR) ; Mathematical Physics (math-ph); Analysis of PDEs (math.AP).
Pagina del lavoro: https://arxiv.org/abs/2608.27828 — 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 2026-10-17T11:05:49.677Z dalla pagina https://arxiv.org/catchup/math.PR/2026-08-31?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).