A New Large N Expansion for General Matrix–Tensor Models
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Frank Ferrari | - |
dc.contributor.author | Vincent Rivasseau | - |
dc.contributor.author | Guillaume Valette | - |
dc.date.accessioned | 2021-06-10T08:50:00Z | - |
dc.date.accessioned | 2021-06-10T08:50:00Z | - |
dc.date.available | 2021-06-10T08:50:00Z | - |
dc.date.available | 2021-06-10T08:50:00Z | - |
dc.date.created | 2021-05-27 | - |
dc.date.issued | 2019-09 | - |
dc.identifier.issn | 0010-3616 | - |
dc.identifier.uri | https://pr.ibs.re.kr/handle/8788114/9746 | - |
dc.description.abstract | We define a new large N limit for general O (N) R or U (N) R invariant tensor models, based on an enhanced large N scaling of the coupling constants. The resulting large N expansion is organized in terms of a half-integer associated with Feynman graphs that we call the index. This index has a natural interpretation in terms of the many matrix models embedded in the tensor model. Our new scaling can be shown to be optimal for a wide class of non-melonic interactions, which includes all the maximally single-trace terms. Our construction allows to define a new large D expansion of the sum over diagrams of fixed genus in matrix models with an additional O (D) r global symmetry. When the interaction is the complete vertex of order R+ 1 , we identify in detail the leading order graphs for R a prime number. This slightly surprising condition is equivalent to the complete interaction being maximally single-trace. © 2019, Springer-Verlag GmbH Germany, part of Springer Nature. | - |
dc.description.uri | 1 | - |
dc.language | 영어 | - |
dc.publisher | Springer Verlag | - |
dc.title | A New Large N Expansion for General Matrix–Tensor Models | - |
dc.type | Article | - |
dc.type.rims | ART | - |
dc.identifier.wosid | 000482219400001 | - |
dc.identifier.scopusid | 2-s2.0-85069860038 | - |
dc.identifier.rimsid | 75746 | - |
dc.contributor.affiliatedAuthor | Frank Ferrari | - |
dc.identifier.doi | 10.1007/s00220-019-03511-7 | - |
dc.identifier.bibliographicCitation | Communications in Mathematical Physics, v.370, no.2, pp.403 - 448 | - |
dc.citation.title | Communications in Mathematical Physics | - |
dc.citation.volume | 370 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 403 | - |
dc.citation.endPage | 448 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | QUANTUM-GRAVITY | - |
dc.subject.keywordAuthor | LIMIT | - |