{
  "titles": [
    {
      "title": "Wilson-Itô diffusions"
    }
  ],
  "creators": [
    {
      "name": "Bailleul, Ismael",
      "nameType": "Personal",
      "familyName": "Bailleul",
      "givenName": "Ismael"
    },
    {
      "name": "Chevyrev, Ilya",
      "nameType": "Personal",
      "familyName": "Chevyrev",
      "givenName": "Ilya"
    },
    {
      "name": "Gubinelli, Massimiliano",
      "nameType": "Personal",
      "familyName": "Gubinelli",
      "givenName": "Massimiliano"
    }
  ],
  "publisher": {
    "name": "Papers of Massimiliano Gubinelli"
  },
  "publicationYear": 2023,
  "types": {
    "resourceTypeGeneral": "Preprint"
  },
  "version": "1",
  "url": "https://arxiv.org/abs/2307.11580v1",
  "dates": [
    {
      "date": "2023-07-21",
      "dateType": "Issued"
    },
    {
      "date": "2023-07-21",
      "dateType": "Available"
    }
  ],
  "language": "en",
  "formats": [
    "application/pdf",
    "application/x-tex",
    "application/x-texmacs"
  ],
  "subjects": [
    {
      "subject": "math.PR",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "cond-mat.stat-mech",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "hep-th",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "math-ph",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "math.MP",
      "subjectScheme": "arXiv"
    }
  ],
  "rightsList": [
    {
      "rights": "arXiv.org perpetual, non-exclusive license to distribute; all other rights reserved to the authors",
      "rightsUri": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
    }
  ],
  "descriptions": [
    {
      "description": "We introduce Wilson-Itô diffusions, a class of random fields on $\\mathbb{R}^d$ that change continuously along a scale parameter via a Markovian dynamics with local coefficients. Described via forward-backward stochastic differential equations, their observables naturally form a pre-factorization algebra à la Costello-Gwilliam. We argue that this is a new non-perturbative quantization method applicable also to gauge theories and independent of a path-integral formulation. Whenever a path-integral is available, this approach reproduces the setting of Wilson-Polchinski flow equations.",
      "descriptionType": "Abstract"
    }
  ],
  "relatedIdentifiers": [
    {
      "relatedIdentifier": "arXiv:2307.11580v1",
      "relatedIdentifierType": "arXiv",
      "relationType": "IsIdenticalTo"
    },
    {
      "relatedIdentifier": "10.48550/arXiv.2307.11580",
      "relatedIdentifierType": "DOI",
      "relationType": "IsVersionOf"
    }
  ]
}