Double scaling in tensor models with a quartic interaction
In this paper we identify and analyze in detail the subleading contributions in the 1/N expansion of random tensors, in the simple case of a quartically interacting model. The leading order for this 1/N expansion is made of graphs, called melons, which are dual to particular triangulations of the D-...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
September 17, 2013
|
| In: |
Journal of high energy physics
Year: 2013, Heft: 3, Pages: 1-33 |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/JHEP09(2013)088 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/JHEP09(2013)088
|
| Verfasserangaben: | Stéphane Dartois, Razvan Gurau and Vincent Rivasseau |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1805156195 | ||
| 003 | DE-627 | ||
| 005 | 20221005155352.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 220530s2013 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1007/JHEP09(2013)088 |2 doi | |
| 035 | |a (DE-627)1805156195 | ||
| 035 | |a (DE-599)KXP1805156195 | ||
| 035 | |a (OCoLC)1341460479 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Dartois, Stéphane |e VerfasserIn |0 (DE-588)1269539523 |0 (DE-627)1818078384 |4 aut | |
| 245 | 1 | 0 | |a Double scaling in tensor models with a quartic interaction |c Stéphane Dartois, Razvan Gurau and Vincent Rivasseau |
| 264 | 1 | |c September 17, 2013 | |
| 300 | |a 33 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 05.10.2022 | ||
| 520 | |a In this paper we identify and analyze in detail the subleading contributions in the 1/N expansion of random tensors, in the simple case of a quartically interacting model. The leading order for this 1/N expansion is made of graphs, called melons, which are dual to particular triangulations of the D-dimensional sphere, closely related to the “stacked” triangulations. For D < 6 the subleading behavior is governed by a larger family of graphs, hereafter called cherry trees, which are also dual to the D-dimensional sphere. They can be resummed explicitly through a double scaling limit. In sharp contrast with random matrix models, this double scaling limit is stable. Apart from its unexpected upper critical dimension 6, it displays a singularity at fixed distance from the origin and is clearly the first step in a richer set of yet to be discovered multi-scaling limits. | ||
| 650 | 4 | |a 1/N Expansion | |
| 650 | 4 | |a Matrix Models | |
| 650 | 4 | |a Models of Quantum Gravity | |
| 700 | 1 | |a Gurǎu, Rǎzvan |d 1980- |e VerfasserIn |0 (DE-588)1125382333 |0 (DE-627)879905778 |0 (DE-576)483375152 |4 aut | |
| 700 | 1 | |a Rivasseau, Vincent |d 1955- |e VerfasserIn |0 (DE-588)136009298 |0 (DE-627)693986220 |0 (DE-576)300775989 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Journal of high energy physics |d Berlin : Springer, 1997 |g (2013), 3, Artikel-ID 88, Seite 1-33 |h Online-Ressource |w (DE-627)320910571 |w (DE-600)2027350-2 |w (DE-576)095428305 |x 1029-8479 |7 nnas |a Double scaling in tensor models with a quartic interaction |
| 773 | 1 | 8 | |g year:2013 |g number:3 |g elocationid:88 |g pages:1-33 |g extent:33 |a Double scaling in tensor models with a quartic interaction |
| 856 | 4 | 0 | |u https://doi.org/10.1007/JHEP09(2013)088 |x Verlag |x Resolving-System |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20220530 | ||
| 993 | |a Article | ||
| 994 | |a 2013 | ||
| 998 | |g 1125382333 |a Gurǎu, Rǎzvan |m 1125382333:Gurǎu, Rǎzvan |p 2 | ||
| 999 | |a KXP-PPN1805156195 |e 4141346780 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"name":{"displayForm":["Stéphane Dartois, Razvan Gurau and Vincent Rivasseau"]},"origin":[{"dateIssuedKey":"2013","dateIssuedDisp":"September 17, 2013"}],"id":{"doi":["10.1007/JHEP09(2013)088"],"eki":["1805156195"]},"physDesc":[{"extent":"33 S."}],"relHost":[{"physDesc":[{"extent":"Online-Ressource"}],"id":{"eki":["320910571"],"zdb":["2027350-2"],"issn":["1029-8479"]},"origin":[{"publisherPlace":"Berlin ; Heidelberg ; [Trieste] ; Bristol","dateIssuedKey":"1997","publisher":"Springer ; SISSA ; IOP Publ.","dateIssuedDisp":"1997-"}],"titleAlt":[{"title":"JHEP"}],"part":{"year":"2013","issue":"3","pages":"1-33","text":"(2013), 3, Artikel-ID 88, Seite 1-33","extent":"33"},"pubHistory":["Nachgewiesen 1997 -"],"corporate":[{"roleDisplay":"Herausgebendes Organ","display":"Institute of Physics","role":"isb"}],"language":["eng"],"recId":"320910571","disp":"Double scaling in tensor models with a quartic interactionJournal of high energy physics","note":["Gesehen am 02.12.20"],"type":{"bibl":"periodical","media":"Online-Ressource"},"title":[{"title_sort":"Journal of high energy physics","title":"Journal of high energy physics","subtitle":"JHEP ; a refereed journal written, run, and distributed by electronic means"}]}],"person":[{"family":"Dartois","given":"Stéphane","display":"Dartois, Stéphane","roleDisplay":"VerfasserIn","role":"aut"},{"role":"aut","display":"Gurǎu, Rǎzvan","roleDisplay":"VerfasserIn","given":"Rǎzvan","family":"Gurǎu"},{"given":"Vincent","family":"Rivasseau","role":"aut","display":"Rivasseau, Vincent","roleDisplay":"VerfasserIn"}],"title":[{"title_sort":"Double scaling in tensor models with a quartic interaction","title":"Double scaling in tensor models with a quartic interaction"}],"type":{"media":"Online-Ressource","bibl":"article-journal"},"note":["Gesehen am 05.10.2022"],"language":["eng"],"recId":"1805156195"} | ||
| SRT | |a DARTOISSTEDOUBLESCAL1720 | ||