Cover Image

Long-range multi-scalar models at three loops

Show other versions (1)

We compute the three-loop beta functions of long-range multi-scalar models with general quartic interactions. The long-range nature of the models is encoded in a kinetic term with a Laplacian to the power 0 < ζ < 1, rendering the computation of Feynman diagrams much harder than in the usual sh...

Full description

Saved in:
Bibliographic Details
Main Authors: Benedetti, Dario (Author) , Gurǎu, Rǎzvan (Author) , Harribey, Sabine (Author) , Suzuki, Kenta (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 28 Oct 2020
In: Arxiv
Year: 2020, Pages: 1-39
DOI:10.48550/arXiv.2007.04603
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.2007.04603
Get full text
Author Notes:Dario Benedetti, Razvan Gurau, Sabine Harribey, and Kenta Suzuki

MARC

LEADER 00000caa a2200000 c 4500
001 1804434353
003 DE-627
005 20221007075850.0
007 cr uuu---uuuuu
008 220527s2020 xx |||||o 00| ||eng c
024 7 |a 10.48550/arXiv.2007.04603  |2 doi 
035 |a (DE-627)1804434353 
035 |a (DE-599)KXP1804434353 
035 |a (OCoLC)1341460261 
040 |a DE-627  |b ger  |c DE-627  |e rda 
041 |a eng 
084 |a 29  |2 sdnb 
100 1 |a Benedetti, Dario  |e VerfasserIn  |0 (DE-588)1195069391  |0 (DE-627)167724433X  |4 aut 
245 1 0 |a Long-range multi-scalar models at three loops  |c Dario Benedetti, Razvan Gurau, Sabine Harribey, and Kenta Suzuki 
264 1 |c 28 Oct 2020 
300 |a 39 
336 |a Text  |b txt  |2 rdacontent 
337 |a Computermedien  |b c  |2 rdamedia 
338 |a Online-Ressource  |b cr  |2 rdacarrier 
500 |a Version 1 vom 9. Juli 2020, Version 2 vom 28. Oktober 2020 
500 |a Gesehen am 07.10.2022 
520 |a We compute the three-loop beta functions of long-range multi-scalar models with general quartic interactions. The long-range nature of the models is encoded in a kinetic term with a Laplacian to the power 0 < ζ < 1, rendering the computation of Feynman diagrams much harder than in the usual short-range case (ζ = 1). As a consequence, previous results stopped at two loops, while seven-loop results are available for short-range models. We push the renormalization group analysis to three loops, in an ϵ = 4ζ − d expansion at fixed dimension d < 4, extensively using the Mellin-Barnes representation of Feynman amplitudes in the Schwinger parametrization. We then specialize the beta functions to various models with different symmetry groups: O(N), , and O(N) × O(M). For such models, we compute the fixed points and critical exponents. 
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 Harribey, Sabine  |d 1995-  |e VerfasserIn  |0 (DE-588)1230883495  |0 (DE-627)1753224977  |4 aut 
700 1 |a Suzuki, Kenta  |e VerfasserIn  |0 (DE-588)1269691384  |0 (DE-627)1818175428  |4 aut 
773 0 8 |i Enthalten in  |t Arxiv  |d Ithaca, NY : Cornell University, 1991  |g (2020), Artikel-ID 2007.04603, Seite 1-39  |h Online-Ressource  |w (DE-627)509006531  |w (DE-600)2225896-6  |w (DE-576)28130436X  |7 nnas  |a Long-range multi-scalar models at three loops 
773 1 8 |g year:2020  |g elocationid:2007.04603  |g pages:1-39  |g extent:39  |a Long-range multi-scalar models at three loops 
856 4 0 |u https://doi.org/10.48550/arXiv.2007.04603  |x Verlag  |x Resolving-System  |z lizenzpflichtig  |3 Volltext 
951 |a AR 
992 |a 20220527 
993 |a Article 
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 3 
998 |g 1125382333  |a Gurǎu, Rǎzvan  |m 1125382333:Gurǎu, Rǎzvan  |d 700000  |d 728500  |e 700000PG1125382333  |e 728500PG1125382333  |k 0/700000/  |k 1/700000/728500/  |p 2 
999 |a KXP-PPN1804434353  |e 413984583X 
BIB |a Y 
JSO |a {"name":{"displayForm":["Dario Benedetti, Razvan Gurau, Sabine Harribey, and Kenta Suzuki"]},"id":{"doi":["10.48550/arXiv.2007.04603"],"eki":["1804434353"]},"origin":[{"dateIssuedKey":"2020","dateIssuedDisp":"28 Oct 2020"}],"relHost":[{"titleAlt":[{"title":"Arxiv.org"},{"title":"Arxiv.org e-print archive"},{"title":"Arxiv e-print archive"},{"title":"De.arxiv.org"}],"part":{"extent":"39","text":"(2020), Artikel-ID 2007.04603, Seite 1-39","pages":"1-39","year":"2020"},"pubHistory":["1991 -"],"recId":"509006531","language":["eng"],"disp":"Long-range multi-scalar models at three loopsArxiv","note":["Gesehen am 28.05.2024"],"type":{"media":"Online-Ressource","bibl":"edited-book"},"title":[{"title_sort":"Arxiv","title":"Arxiv"}],"physDesc":[{"extent":"Online-Ressource"}],"id":{"eki":["509006531"],"zdb":["2225896-6"]},"origin":[{"dateIssuedKey":"1991","publisher":"Cornell University ; Arxiv.org","dateIssuedDisp":"1991-","publisherPlace":"Ithaca, NY ; [Erscheinungsort nicht ermittelbar]"}]}],"physDesc":[{"extent":"39 S."}],"person":[{"role":"aut","display":"Benedetti, Dario","roleDisplay":"VerfasserIn","given":"Dario","family":"Benedetti"},{"role":"aut","roleDisplay":"VerfasserIn","display":"Gurǎu, Rǎzvan","given":"Rǎzvan","family":"Gurǎu"},{"family":"Harribey","given":"Sabine","roleDisplay":"VerfasserIn","display":"Harribey, Sabine","role":"aut"},{"role":"aut","display":"Suzuki, Kenta","roleDisplay":"VerfasserIn","given":"Kenta","family":"Suzuki"}],"title":[{"title_sort":"Long-range multi-scalar models at three loops","title":"Long-range multi-scalar models at three loops"}],"recId":"1804434353","language":["eng"],"type":{"bibl":"chapter","media":"Online-Ressource"},"note":["Version 1 vom 9. Juli 2020, Version 2 vom 28. Oktober 2020","Gesehen am 07.10.2022"]} 
SRT |a BENEDETTIDLONGRANGEM2820 

Similar Items