Zobrazeno 1 - 10
of 366
pro vyhledávání: '"Harald Grosse"'
Publikováno v:
Journal of High Energy Physics, Vol 2020, Iss 1, Pp 1-17 (2020)
Abstract Previously the exact solution of the planar sector of the self-dual Φ4-model on 4-dimensional Moyal space was established up to the solution of a Fredholm integral equation. This paper solves, for any coupling constant λ > − 1 π $$ \fra
Externí odkaz:
https://doaj.org/article/241252b62bdf410f86acd4dae2ca6dcd
Publikováno v:
Nuclear Physics B, Vol 926, Iss C, Pp 20-48 (2018)
We extend our previous work (on D=2) to give an exact solution of the ΦD3 large-N matrix model (or renormalised Kontsevich model) in D=4 and D=6 dimensions. Induction proofs and the difficult combinatorics are unchanged compared with D=2, but the re
Externí odkaz:
https://doaj.org/article/aa0999b27aca4b78af2623606d2ea6a5
Publikováno v:
Nuclear Physics B, Vol 925, Iss , Pp 319-347 (2017)
We apply a recently developed method to exactly solve the Φ3 matrix model with covariance of a two-dimensional theory, also known as regularised Kontsevich model. Its correlation functions collectively describe graphs on a multi-punctured 2-sphere
Externí odkaz:
https://doaj.org/article/b7a75815928f44fb8d30bbe39d471213
Autor:
Maja Buric, Harald Grosse
The abstract is available here: https://uscholar.univie.ac.at/o:1675374
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0c033a2ee152d1e66fe29c9418bc697
https://doi.org/10.22323/1.406.0361
https://doi.org/10.22323/1.406.0361
We review the construction of the $\lambda\phi^4$-model on noncommutative geometries via exact solutions of Dyson-Schwinger equations and explain how this construction relates via (blobbed) topological recursion to problems in algebraic and enumerati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3bf87b931825a3e8182ffd65b27943e
Publikováno v:
Nuclear Physics B. 926:20-48
We extend our previous work (on D = 2 ) to give an exact solution of the Φ D 3 large- N matrix model (or renormalised Kontsevich model) in D = 4 and D = 6 dimensions. Induction proofs and the difficult combinatorics are unchanged compared with D = 2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6dde523c99f752ed2c8a4a7b24c32962
https://doi.org/10.1016/j.nuclphysb.2017.10.022
https://doi.org/10.1016/j.nuclphysb.2017.10.022
Publikováno v:
Nuclear Physics B. 925:319-347
We apply a recently developed method to exactly solve the Φ 3 matrix model with covariance of a two-dimensional theory, also known as regularised Kontsevich model. Its correlation functions collectively describe graphs on a multi-punctured 2-sphere.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1bdb1fe7dac11b260bc09187110ff443
https://doi.org/10.1016/j.nuclphysb.2017.10.010
https://doi.org/10.1016/j.nuclphysb.2017.10.010
Let $F_g(t)$ be the generating function of intersection numbers on the moduli spaces $\bar{\mathcal{M}}_{g,n}$ of complex curves of genus $g$. As by-product of a complete solution of all non-planar correlation functions of the renormalised $\Phi^3$-m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c3bf6a3efe8c17f3e2a88c2c4674aeec
Autor:
Raimar Wulkenhaar, Harald Grosse
Over many years, we developed the construction of the ϕ4-model on four-dimensional Moyal space. The solution of the related matrix model $\mathcal {Z}[E,J]=\int d{\Phi } \exp (\text {tr}(J{\Phi }- E{\Phi }^{2} -\frac {\lambda }{4} {\Phi }^{4}))$ is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90fb2e3ae48f32046c69284ccfdf0d51
https://doi.org/10.1007/s10013-018-0302-2
https://doi.org/10.1007/s10013-018-0302-2
Publikováno v:
Vietnam Journal of Mathematics. 44:1-3
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b9221641a0d7b3392ad2134f0937f884
https://doi.org/10.1007/s10013-016-0187-x
https://doi.org/10.1007/s10013-016-0187-x