Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Akifumi Sako"'
Autor:
Naoyuki Kanomata, Akifumi Sako
Publikováno v:
Nuclear Physics B, Vol 992, Iss , Pp 116249- (2023)
There is a matrix model corresponding to a scalar field theory on noncommutative spaces called Grosse-Wulkenhaar model (Φ4 matrix model), which is renormalizable by adding a harmonic oscillator potential to scalar Φ4 theory on Moyal spaces. There a
Externí odkaz:
https://doaj.org/article/a76ed1399bed4e739066ca5b47c2ac15
Autor:
Akifumi Sako
Publikováno v:
Nuclear Physics B, Vol 989, Iss , Pp 116146- (2023)
We introduce a category composed of all quantizations of all Poisson algebras. By the category, we can treat in a unified way the various quantizations for all Poisson algebras and develop a new classical limit formulation. This formulation proposes
Externí odkaz:
https://doaj.org/article/bd613b2235d04aa4bfbd8cc924985547
Autor:
Naoyuki Kanomata, Akifumi Sako
Publikováno v:
Nuclear Physics B, Vol 982, Iss , Pp 115892- (2022)
We find the exact solutions of the Φ23 finite matrix model (Grosse-Wulkenhaar model). In the Φ23 finite matrix model, multipoint correlation functions are expressed as G|a11…aN11|…|a1B…aNBB|. The ∑i=1BNi-point function denoted by G|a11…aN
Externí odkaz:
https://doaj.org/article/5ac66fe380124412b731e7ef84b0ccdc
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:
Akifumi Sako
Publikováno v:
Advances in Mathematical Physics, Vol 2010 (2010)
We review recent developments in noncommutative deformations of instantons in ℝ4. In the operator formalism, we study how to make noncommutative instantons by using the ADHM method, and we review the relation between topological charges and noncomm
Externí odkaz:
https://doaj.org/article/9c457edaaa024ed0a01191760c4f50fc
Publikováno v:
東京理科大学教職教育研究 第8号. 8:23-34
高校数学では、定積分の指導について、「定積分と面積の概念」が結びつきにくいとの指摘がされている。本研究は、区分求積法を題材とし、現物実験を用いて発見的に原始関数との関
Autor:
Taika Okuda, Akifumi Sako
Publikováno v:
Journal of Geometry and Symmetry in Physics. 64:39-49
A construction methods of noncommutative locally symmetric K\"ahler manifolds via a deformation quantization with separation of variables was proposed by Sako-Suzuki-Umetsu and Hara-Sako. This construction gives the recurrence relations to determine
Autor:
Taika Okuda, Akifumi Sako
Publikováno v:
International Journal of Geometric Methods in Modern Physics. 20
We give a complex two-dimensional noncommutative locally symmetric Kähler manifold via a deformation quantization with separation of variables. We present an explicit formula of its star product by solving the system of recurrence relations given by
Autor:
Yasuhiro Yoshimura, Hitoyuki Tomotsune, Akifumi Sako, Masahiro Sato, Takanori Aono, Makoto Fukada
Publikováno v:
Journal of The Japan Institute of Electronics Packaging. 24:572-579