Zobrazeno 1 - 10
of 107
pro vyhledávání: '"Shinobu Hikami"'
Autor:
Arkaprava Mukherjee, Shinobu Hikami
Publikováno v:
Journal of High Energy Physics, Vol 2021, Iss 3, Pp 1-36 (2021)
Abstract The quantum chaos is related to a Gaussian random matrix model, which shows a dip-ramp-plateau behavior in the spectral form factor for the large size N. The spectral form factor of time dependent Gaussian random matrix model shows also dip-
Externí odkaz:
https://doaj.org/article/9b446e27f7b64c0cb6a030cbc43d5ffe
Autor:
Shinobu Hikami
Publikováno v:
Journal of Statistical Physics. 188(3):20
The intersection numbers for p spin curves of the moduli space M(g,n) are considered for D type by a matrix model. The asymptotic behavior of the large genus g limit and large p limit are derived. The remarkable features of the cases of p= 1/2, - 1/2
Autor:
Edouard Brézin, Shinobu Hikami
Publikováno v:
J.Statist.Phys.
J.Statist.Phys., 2021, 183 (3), pp.36. ⟨10.1007/s10955-021-02776-4⟩
J.Statist.Phys., 2021, 183 (3), pp.36. ⟨10.1007/s10955-021-02776-4⟩
We report here an extension of a previous work in which we have shown that matrix models provide a tool to compute the intersection numbers of p-spin curves. We discuss further an extension to half-integer p, and in more details for p=1/2 and p=3/2.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b1a93741a09f5d23f28c21b2c9d5172
Autor:
Hirohiko Shimada, Shinobu Hikami
Publikováno v:
Journal of Statistical Physics. 165:1006-1035
The fractal dimensions of polymer chains and high-temperature graphs in the Ising model both in three dimension are determined using the conformal bootstrap applied for the continuation of the $O(N)$ models from $N=1$ (Ising model) to $N=0$ (polymer)
Autor:
Shinobu Hikami
Publikováno v:
Progress of Theoretical and Experimental Physics
The determinant method in the conformal bootstrap is applied for the critical phenomena of a single polymer in arbitrary $D$ dimensions. The scale dimensions (critical exponents) of the polymer ($2< D \le 4$) and the branched polymer ($3 < D \le 8$)
Autor:
Shinobu Hikami
The dimensional reductions in the branched polymer and the random field Ising model (RFIM) are discussed by a conformal bootstrap method. The small size minors are applied for the evaluations of the scale dimensions of these two models and the result
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39530b25d08088421444649a803d12f1
Autor:
Shinobu Hikami, Edouard Brézin
Publikováno v:
JHEP
JHEP, 2018, 08, pp.086. ⟨10.1007/JHEP08(2018)086⟩
Journal of High Energy Physics
Journal of High Energy Physics, Springer, 2018, 08, pp.086. ⟨10.1007/JHEP08(2018)086⟩
Journal of High Energy Physics, Vol 2018, Iss 8, Pp 1-12 (2018)
JHEP, 2018, 08, pp.086. ⟨10.1007/JHEP08(2018)086⟩
Journal of High Energy Physics
Journal of High Energy Physics, Springer, 2018, 08, pp.086. ⟨10.1007/JHEP08(2018)086⟩
Journal of High Energy Physics, Vol 2018, Iss 8, Pp 1-12 (2018)
In the past we have considered Gaussian random matrix ensembles in the presence of an external matrix source. The reason was that it allowed, through an appropriate tuning of the eigenvalues of the source, to obtain results on non-trivial dual models
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5bd577403402d6df3441f304464ea653
Autor:
Shinobu Hikami
Publikováno v:
Progress of Theoretical and Experimental Physics
The Yang-Lee edge singularity is investigated by the determinant method of the conformal field theory. The critical dimension Dc, for which the scale dimension of scalar Delta_phi is vanishing, is discussed by this determinant method. The result is i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b35fe06be282e72bf3a6f6800e3b9ba3
http://arxiv.org/abs/1707.04813
http://arxiv.org/abs/1707.04813
Autor:
Edouard Brézin, Shinobu Hikami
This is a first book to show that the theory of the Gaussian random matrix is essential to understand the universal correlations with random fluctuations and to demonstrate that it is useful to evaluate topological universal quantities. We consider G
Autor:
Edouard Brézin, Shinobu Hikami
Publikováno v:
Random Matrix Theory with an External Source ISBN: 9789811033155
The duality formula presented in Chap. 4 and the explicit results for the n-point functions with an external source, make it possible to compute the intersection numbers of a moduli space of p-spin curves, a generalization of Kontsevich intersection
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3142556c71d99edfcd4b163c39cdd306
https://doi.org/10.1007/978-981-10-3316-2_7
https://doi.org/10.1007/978-981-10-3316-2_7