Zobrazeno 1 - 10
of 176
pro vyhledávání: '"Vincent Rivasseau"'
Publikováno v:
SciPost Physics Core, Vol 4, Iss 4, p 029 (2021)
We continue the constructive program about tensor field theory through the next natural model, namely the rank five tensor theory with quartic melonic interactions and propagator inverse of the Laplacian on $U(1)^5$. We make a first step towards i
Externí odkaz:
https://doaj.org/article/12972a7784fc48c4aeeedcddf4b26949
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:
Nicolas Delporte, Vincent Rivasseau
Publikováno v:
Commun.Math.Phys.
Commun.Math.Phys., 2021, 381 (3), pp.857-887. ⟨10.1007/s00220-020-03874-2⟩
Commun.Math.Phys., 2021, 381 (3), pp.857-887. ⟨10.1007/s00220-020-03874-2⟩
In this paper we start a systematic study of quantum field theory on random trees. Using precise probability estimates on their Galton-Watson branches and a multiscale analysis, we establish the general power counting of averaged Feynman amplitudes a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ecab866c18ad347c1acaccb7a892a354
https://doi.org/10.1007/s00220-020-03874-2
https://doi.org/10.1007/s00220-020-03874-2
Publikováno v:
Annales Henri Poincaré
Annales Henri Poincaré, Springer Verlag, 2019, 20, pp.3997-4032. ⟨10.1007/s00023-019-00845-9⟩
Annales Henri Poincaré, 2019, 20 (12), pp.3997-4032. ⟨10.1007/s00023-019-00845-9⟩
Annales Henri Poincaré, Springer Verlag, 2019, 20, pp.3997-4032. ⟨10.1007/s00023-019-00845-9⟩
Annales Henri Poincaré, 2019, 20 (12), pp.3997-4032. ⟨10.1007/s00023-019-00845-9⟩
This paper provides an extension of the constructive loop vertex expansion to stable matrix models with interactions of arbitrarily high order. We introduce a new representation for such models, then perform a forest expansion on this representation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57a2772a3a82f1943435848af4a784b6
https://doi.org/10.1007/s00023-019-00845-9
https://doi.org/10.1007/s00023-019-00845-9
Publikováno v:
Communications in Mathematical Physics. 366:567-646
We continue our constructive study of tensor field theory through the next natural model, namely the rank four tensor theory with quartic melonic interactions and propagator inverse of the Laplacian on $U(1)^4$. This superrenormalizable tensor field
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8468b479063401c82fec0125a650907a
https://doi.org/10.1007/s00220-019-03369-9
https://doi.org/10.1007/s00220-019-03369-9
Autor:
Vincent Rivasseau, Zhituo Wang
This paper is devoted to the rigorous study of the low temperature properties of the two-dimensional weakly interacting Hubbard model on the honeycomb lattice in which the renormalized chemical potential $\mu$ has been fixed such that the Fermi surfa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fdfcee51e8d1db8cf595e2ba4146da34
Autor:
Vincent Rivasseau, Nicolas Delporte
Publikováno v:
PoS
19th Hellenic School and Workshops on Elementary Particle Physics and Gravity
19th Hellenic School and Workshops on Elementary Particle Physics and Gravity, Aug 2019, Corfu, Greece. pp.207, ⟨10.22323/1.376.0207⟩
19th Hellenic School and Workshops on Elementary Particle Physics and Gravity
19th Hellenic School and Workshops on Elementary Particle Physics and Gravity, Aug 2019, Corfu, Greece. pp.207, ⟨10.22323/1.376.0207⟩
We review the paper [arXiv:1905.12783] and discuss some comments about SYK on random unicycle.
Comment: 17 pages. Comments welcome. Contribution to the proceedings of the Corfu Summer Institute 2019 "School and Workshops on Elementary Particle P
Comment: 17 pages. Comments welcome. Contribution to the proceedings of the Corfu Summer Institute 2019 "School and Workshops on Elementary Particle P
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4614f7052a52dc957a3c432831e25f8
https://doi.org/10.22323/1.376.0207
https://doi.org/10.22323/1.376.0207
Publikováno v:
Commun.Math.Phys.
Commun.Math.Phys., 2020, 374 (2), pp.1179-1228. ⟨10.1007/s00220-020-03683-7⟩
Commun.Math.Phys., 2020, 374 (2), pp.1179-1228. ⟨10.1007/s00220-020-03683-7⟩
We propose a new application of random tensor theory to studies of non-linear random flows in many variables. Our focus is on non-linear resonant systems which often emerge as weakly non-linear approximations to problems whose linearized perturbation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a781bad2be720655f00eec3389aab67
https://hal.archives-ouvertes.fr/hal-01902912
https://hal.archives-ouvertes.fr/hal-01902912
Autor:
Bertrand Duplantier, Vincent Rivasseau
This volume provides a detailed description of some of the most active areas in astrophysics from the largest scales probed by the Planck satellite to massive black holes that lie at the heart of galaxies and up to the much awaited but stunning disco
Autor:
Bertrand Duplantier, Vincent Rivasseau
This eighteenth volume in the Poincaré Seminar Series provides a thorough description of Information Theory and some of its most active areas, in particular, its relation to thermodynamics at the nanoscale and the Maxwell Demon, and the emergence