Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Valentin Bonzom"'
Publikováno v:
Nuclear Physics B, Vol 895, Iss , Pp 161-191 (2015)
Ordinary tensor models of rank D≥3 are dominated at large N by tree-like graphs, known as melonic triangulations. We here show that non-melonic contributions can be enhanced consistently, leading to different types of large N limits. We first study
Externí odkaz:
https://doaj.org/article/92d58e19a06e4732b9415ec2cc8f1916
Autor:
Valentin Bonzom, Alok Laddha
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 8, p 009 (2012)
We review some approaches to the Hamiltonian dynamics of (loop) quantum gravity, the main issues being the regularization of the Hamiltonian and the continuum limit. First, Thiemann's definition of the quantum Hamiltonian is presented, and then more
Externí odkaz:
https://doaj.org/article/6072f673a0ce44e994b9a1fc834f1d25
Publikováno v:
Physical Review D. 107
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e9cc65bd1f94e91811af50dd1872c0a
https://doi.org/10.1103/physrevd.107.026015
https://doi.org/10.1103/physrevd.107.026015
Publikováno v:
Physical Review D. 107
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7cc659969ef92460b04600e3aee06f6f
https://doi.org/10.1103/physrevd.107.026014
https://doi.org/10.1103/physrevd.107.026014
In this note, we examine how the BKP structure of the generating series of several models of maps on non-oriented surfaces can be used to obtain explicit and/or efficient recurrence formulas for their enumeration according to the genus and size param
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a9bebd7ddb277fa55ae57ff49a04d04b
Publikováno v:
Lett.Math.Phys.
Lett.Math.Phys., 2019, 109 (12), pp.2611-2624. ⟨10.1007/s11005-019-01194-8⟩
Lett.Math.Phys., 2019, 109 (12), pp.2611-2624. ⟨10.1007/s11005-019-01194-8⟩
A crucial result on the celebrated Sachdev-Ye-Kitaev model is that its large $N$ limit is dominated by melonic graphs. In this letter we offer a rigorous, diagrammatic proof of that result by direct, combinatorial analysis of its Feynman graphs.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d97e94596f00b1b46d5d2744411b5e4
https://hal.archives-ouvertes.fr/hal-01871799
https://hal.archives-ouvertes.fr/hal-01871799
Autor:
Stephane Dartois, Valentin Bonzom
Publikováno v:
J.Phys.A
J.Phys.A, 2018, 51 (32), pp.325201. ⟨10.1088/1751-8121/aac8e7⟩
Journal of Physics. A
J.Phys.A, 2018, 51 (32), pp.325201. ⟨10.1088/1751-8121/aac8e7⟩
Journal of Physics. A
Random tensor models are generalizations of random matrix models which admit $1/N$ expansions. In this article we show that the topological recursion, a modern approach to matrix models which solves the loop equations at all orders, is also satisfied
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2fd73c12d4bb4a146f8eb2add7775831
https://hal.archives-ouvertes.fr/hal-01833818
https://hal.archives-ouvertes.fr/hal-01833818
Autor:
Frédéric Combes, Valentin Bonzom
Publikováno v:
Annales de l’Institut Henri Poincaré D. 2:1-47
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab771c0d5158780b064682750c103625
https://doi.org/10.4171/aihpd/14
https://doi.org/10.4171/aihpd/14
Publikováno v:
J.Math.Phys.
J.Math.Phys., 2017, 58 (5), pp.052301. ⟨10.1063/1.4983562⟩
J.Math.Phys., 2017, 58 (5), pp.052301. 〈10.1063/1.4983562〉
J.Math.Phys., 2017, 58 (5), pp.052301. ⟨10.1063/1.4983562⟩
J.Math.Phys., 2017, 58 (5), pp.052301. 〈10.1063/1.4983562〉
International audience; The Sachdev-Ye-Kitaev (SYK) model is a model of $q$ interacting fermions. Gross and Rosenhaus have proposed a generalization of the SYK model which involves fermions with different flavors. In terms of Feynman graphs, those fl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d02ef75df91a2a080d9a2ccad05b59b
http://arxiv.org/abs/1702.06944
http://arxiv.org/abs/1702.06944
Autor:
Luca Lionni, Valentin Bonzom
Publikováno v:
INSPIRE-HEP
Three--dimensional colored triangulations are gluings of tetrahedra whose faces carry the colors 0, 1, 2, 3 and in which the attaching maps between tetrahedra are defined using the colors. This framework makes it possible to generalize the notion of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd45b26f884142af7b4f67bbd8de5a24
http://arxiv.org/abs/1608.00347
http://arxiv.org/abs/1608.00347