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Complex Gaussian multiplicative chaos

dc.contributor.authorLacoin, Hubert
dc.contributor.authorRhodes, Rémi
dc.contributor.authorVargas, Vincent
HAL ID: 739861
dc.date.accessioned2013-12-17T12:28:09Z
dc.date.available2013-12-17T12:28:09Z
dc.date.issued2015
dc.identifier.issn0010-3616
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/12308
dc.language.isoenen
dc.subjecttachyon fields
dc.subjectRandom measures
dc.subjectmultifractal
dc.subjectMesures aléatoires
dc.subject.ddc519en
dc.titleComplex Gaussian multiplicative chaos
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherDépartement de Mathématiques et Applications (DMA) http://www.dma.ens.fr/ CNRS : UMR8553 – École normale supérieure [ENS] - Paris;France
dc.description.abstractenIn this article, we study complex Gaussian multiplicative chaos. More precisely, we study the renormalization theory and the limit of the exponential of a complex log-correlated Gaussian field in all dimensions (including Gaussian Free Fields in dimension 2). Our main working assumption is that the real part and the imaginary part are independent. We also discuss applications in $2D$ string theory; in particular we give a rigorous mathematical definition of the so-called Tachyon fields, the conformally invariant operators in critical Liouville Quantum Gravity with a $c=1$ central charge, and derive the original KPZ formula for these fields.
dc.publisher.cityParisen
dc.relation.isversionofjnlnameCommunications in Mathematical Physics
dc.relation.isversionofjnlvol337
dc.relation.isversionofjnlissue2
dc.relation.isversionofjnldate2015
dc.relation.isversionofjnlpages569-632
dc.relation.isversionofdoi10.1007/s00220-015-2362-4
dc.identifier.urlsitehttps://arxiv.org/abs/1307.6117v3
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.description.submittednonen
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2016-10-10T09:54:10Z


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