{
  "titles": [
    {
      "title": "A variational method for $\\Phi^4_3$"
    }
  ],
  "creators": [
    {
      "name": "Barashkov, N.",
      "nameType": "Personal",
      "familyName": "Barashkov",
      "givenName": "N."
    },
    {
      "name": "Gubinelli, M.",
      "nameType": "Personal",
      "familyName": "Gubinelli",
      "givenName": "M."
    }
  ],
  "publisher": {
    "name": "Papers of Massimiliano Gubinelli"
  },
  "publicationYear": 2018,
  "types": {
    "resourceTypeGeneral": "Preprint"
  },
  "version": "2",
  "url": "https://arxiv.org/abs/1805.10814v2",
  "dates": [
    {
      "date": "2018-05-28",
      "dateType": "Issued"
    },
    {
      "date": "2019-04-08",
      "dateType": "Available"
    }
  ],
  "language": "en",
  "formats": [
    "application/pdf",
    "application/x-tex",
    "application/x-texmacs",
    "application/x-bibtex"
  ],
  "subjects": [
    {
      "subject": "math.PR",
      "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 an explicit description of the $\\Phi^4_3$ measure on a bounded domain. Our starting point is the interpretation of its Laplace transform as the value function of a stochastic optimal control problem along the flow of a scale regularization parameter. Once small scale singularities have been renormalized by the standard counterterms, $\\Gamma$-convergence allows to extend the variational characterization to the unregularized model.",
      "descriptionType": "Abstract"
    },
    {
      "description": "Journal reference: Duke Math. J. 169, no. 17 (2020), 3339-3415",
      "descriptionType": "SeriesInformation"
    }
  ],
  "relatedIdentifiers": [
    {
      "relatedIdentifier": "arXiv:1805.10814v2",
      "relatedIdentifierType": "arXiv",
      "relationType": "IsIdenticalTo"
    },
    {
      "relatedIdentifier": "10.48550/arXiv.1805.10814",
      "relatedIdentifierType": "DOI",
      "relationType": "IsVersionOf"
    },
    {
      "relatedIdentifier": "10.1215/00127094-2020-0029",
      "relatedIdentifierType": "DOI",
      "relationType": "IsPreprintOf"
    }
  ]
}