Melonic large N limit of 5-index irreducible random tensors
We demonstrate that random tensors transforming under rank-5 irreducible representations of $$\mathrm {O}(N)$$can support melonic large N expansions. Our construction is based on models with sextic (5-simplex) interaction, which generalize previously studied rank-3 models with quartic (tetrahedral)...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
18 January 2022
|
| In: |
Communications in mathematical physics
Year: 2022, Volume: 390, Issue: 3, Pages: 1219-1270 |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-021-04299-1 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00220-021-04299-1
|
| Author Notes: | Sylvain Carrozza, Sabine Harribey |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1817783750 | ||
| 003 | DE-627 | ||
| 005 | 20230118143707.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 220929s2022 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1007/s00220-021-04299-1 |2 doi | |
| 035 | |a (DE-627)1817783750 | ||
| 035 | |a (DE-599)KXP1817783750 | ||
| 035 | |a (OCoLC)1361696054 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 32 |2 sdnb | ||
| 100 | 1 | |a Carrozza, Sylvain |e VerfasserIn |0 (DE-588)1229515453 |0 (DE-627)1751575985 |4 aut | |
| 245 | 1 | 0 | |a Melonic large N limit of 5-index irreducible random tensors |c Sylvain Carrozza, Sabine Harribey |
| 246 | 3 | 0 | |a five |
| 264 | 1 | |c 18 January 2022 | |
| 300 | |a 52 | ||
| 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 29.09.2022 | ||
| 520 | |a We demonstrate that random tensors transforming under rank-5 irreducible representations of $$\mathrm {O}(N)$$can support melonic large N expansions. Our construction is based on models with sextic (5-simplex) interaction, which generalize previously studied rank-3 models with quartic (tetrahedral) interaction (Benedetti et al. in Commun Math Phys 371:55, 2019. arXiv:1712.00249; Carrozza in JHEP 06:039, 2018. arXiv:1803.02496). Beyond the irreducible character of the representations, our proof relies on recursive bounds derived from a detailed combinatorial analysis of the Feynman graphs. Our results provide further evidence that the melonic limit is a universal feature of irreducible tensor models in arbitrary rank. | ||
| 700 | 1 | |a Harribey, Sabine |d 1995- |e VerfasserIn |0 (DE-588)1230883495 |0 (DE-627)1753224977 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Communications in mathematical physics |d Berlin : Springer, 1965 |g 390(2022), 3, Seite 1219-1270 |h Online-Ressource |w (DE-627)253721628 |w (DE-600)1458931-X |w (DE-576)072372184 |x 1432-0916 |7 nnas |a Melonic large N limit of 5-index irreducible random tensors |
| 773 | 1 | 8 | |g volume:390 |g year:2022 |g number:3 |g pages:1219-1270 |g extent:52 |a Melonic large N limit of 5-index irreducible random tensors |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00220-021-04299-1 |x Verlag |x Resolving-System |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20220929 | ||
| 993 | |a Article | ||
| 994 | |a 2022 | ||
| 998 | |g 1230883495 |a Harribey, Sabine |m 1230883495:Harribey, Sabine |d 130000 |d 700000 |d 728500 |e 130000PH1230883495 |e 700000PH1230883495 |e 728500PH1230883495 |k 0/130000/ |k 0/700000/ |k 1/700000/728500/ |p 2 |y j | ||
| 999 | |a KXP-PPN1817783750 |e 4193333353 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"relHost":[{"title":[{"title":"Communications in mathematical physics","title_sort":"Communications in mathematical physics"}],"titleAlt":[{"title":"Mathematical physics"}],"part":{"issue":"3","pages":"1219-1270","year":"2022","extent":"52","text":"390(2022), 3, Seite 1219-1270","volume":"390"},"pubHistory":["1.1965 -"],"recId":"253721628","language":["eng"],"disp":"Melonic large N limit of 5-index irreducible random tensorsCommunications in mathematical physics","type":{"media":"Online-Ressource","bibl":"periodical"},"note":["Gesehen am 18.04.08"],"id":{"zdb":["1458931-X"],"eki":["253721628"],"issn":["1432-0916"]},"origin":[{"publisherPlace":"Berlin ; Heidelberg","dateIssuedDisp":"1965-","publisher":"Springer","dateIssuedKey":"1965"}],"physDesc":[{"extent":"Online-Ressource"}]}],"physDesc":[{"extent":"52 S."}],"id":{"eki":["1817783750"],"doi":["10.1007/s00220-021-04299-1"]},"origin":[{"dateIssuedDisp":"18 January 2022","dateIssuedKey":"2022"}],"name":{"displayForm":["Sylvain Carrozza, Sabine Harribey"]},"language":["eng"],"recId":"1817783750","type":{"bibl":"article-journal","media":"Online-Ressource"},"note":["Gesehen am 29.09.2022"],"title":[{"title_sort":"Melonic large N limit of 5-index irreducible random tensors","title":"Melonic large N limit of 5-index irreducible random tensors"}],"person":[{"given":"Sylvain","family":"Carrozza","role":"aut","display":"Carrozza, Sylvain","roleDisplay":"VerfasserIn"},{"family":"Harribey","given":"Sabine","roleDisplay":"VerfasserIn","display":"Harribey, Sabine","role":"aut"}]} | ||
| SRT | |a CARROZZASYMELONICLAR1820 | ||