The 1/N expansion of tensor models beyond perturbation theory
We analyze in full mathematical rigor the most general quartically perturbed invariant probability measure for a random tensor. Using a version of the Loop Vertex Expansion (which we call the mixed expansion) we show that the cumulants write as explicit series in 1/N plus bounded rest terms. The mix...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
23 February 2014
|
| In: |
Communications in mathematical physics
Year: 2014, Jahrgang: 330, Heft: 3, Pages: 973-1019 |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-014-1907-2 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00220-014-1907-2
|
| Verfasserangaben: | Razvan Gurau |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1805158465 | ||
| 003 | DE-627 | ||
| 005 | 20221005120228.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 220530s2014 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1007/s00220-014-1907-2 |2 doi | |
| 035 | |a (DE-627)1805158465 | ||
| 035 | |a (DE-599)KXP1805158465 | ||
| 035 | |a (OCoLC)1341460608 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Gurǎu, Rǎzvan |d 1980- |e VerfasserIn |0 (DE-588)1125382333 |0 (DE-627)879905778 |0 (DE-576)483375152 |4 aut | |
| 245 | 1 | 4 | |a The 1/N expansion of tensor models beyond perturbation theory |c Razvan Gurau |
| 246 | 3 | 0 | |a one |
| 264 | 1 | |c 23 February 2014 | |
| 300 | |a 47 | ||
| 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 We analyze in full mathematical rigor the most general quartically perturbed invariant probability measure for a random tensor. Using a version of the Loop Vertex Expansion (which we call the mixed expansion) we show that the cumulants write as explicit series in 1/N plus bounded rest terms. The mixed expansion recasts the problem of determining the subleading corrections in 1/N into a simple combinatorial problem of counting trees decorated by a finite number of loop edges. | ||
| 650 | 4 | |a External Edge | |
| 650 | 4 | |a Marked Vertex | |
| 650 | 4 | |a Matrix Model | |
| 650 | 4 | |a Tensor Model | |
| 650 | 4 | |a White Vertex | |
| 773 | 0 | 8 | |i Enthalten in |t Communications in mathematical physics |d Berlin : Springer, 1965 |g 330(2014), 3, Seite 973-1019 |h Online-Ressource |w (DE-627)253721628 |w (DE-600)1458931-X |w (DE-576)072372184 |x 1432-0916 |7 nnas |a The 1/N expansion of tensor models beyond perturbation theory |
| 773 | 1 | 8 | |g volume:330 |g year:2014 |g number:3 |g pages:973-1019 |g extent:47 |a The 1/N expansion of tensor models beyond perturbation theory |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00220-014-1907-2 |x Verlag |x Resolving-System |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20220530 | ||
| 993 | |a Article | ||
| 994 | |a 2014 | ||
| 998 | |g 1125382333 |a Gurǎu, Rǎzvan |m 1125382333:Gurǎu, Rǎzvan |p 1 |x j |y j | ||
| 999 | |a KXP-PPN1805158465 |e 4141352063 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"id":{"doi":["10.1007/s00220-014-1907-2"],"eki":["1805158465"]},"origin":[{"dateIssuedDisp":"23 February 2014","dateIssuedKey":"2014"}],"name":{"displayForm":["Razvan Gurau"]},"relHost":[{"id":{"zdb":["1458931-X"],"eki":["253721628"],"issn":["1432-0916"]},"origin":[{"dateIssuedKey":"1965","publisher":"Springer","dateIssuedDisp":"1965-","publisherPlace":"Berlin ; Heidelberg"}],"physDesc":[{"extent":"Online-Ressource"}],"title":[{"title":"Communications in mathematical physics","title_sort":"Communications in mathematical physics"}],"part":{"extent":"47","text":"330(2014), 3, Seite 973-1019","volume":"330","issue":"3","pages":"973-1019","year":"2014"},"titleAlt":[{"title":"Mathematical physics"}],"pubHistory":["1.1965 -"],"recId":"253721628","language":["eng"],"disp":"The 1/N expansion of tensor models beyond perturbation theoryCommunications in mathematical physics","note":["Gesehen am 18.04.08"],"type":{"bibl":"periodical","media":"Online-Ressource"}}],"physDesc":[{"extent":"47 S."}],"title":[{"title":"The 1/N expansion of tensor models beyond perturbation theory","title_sort":"1/N expansion of tensor models beyond perturbation theory"}],"person":[{"family":"Gurǎu","given":"Rǎzvan","roleDisplay":"VerfasserIn","display":"Gurǎu, Rǎzvan","role":"aut"}],"language":["eng"],"recId":"1805158465","note":["Gesehen am 05.10.2022"],"type":{"bibl":"article-journal","media":"Online-Ressource"}} | ||
| SRT | |a GURAURAZVA1NEXPANSIO2320 | ||