15 citations · 59 across the 18 of their papers we have counts for
18 papers
Griffiths-type theorems for short-range spin glass models
Chigak Itoi, Hisamitsu Mukaida, Hal Tasaki
We establish relations between different characterizations of order in spin glass models. We first prove that the broadening of the replica overlap distribution indicated by a nonz…
Non-differentiability of the effective potential and the replica symmetry breaking in the random energy model
Hisamitsu Mukaida
The effective potential for the two-replica system of the random energy model is exactly derived. It is an analytic function of the magnetizations of two replicas, and …
The generating function for the connected correlator in the random energy model and its effective potential
Hisamitsu Mukaida
Starting with two copies of the random energy model coupled with independent magnetic fields, the generating function for the connected correlator of the magnetization is exactly d…
Essential on-Brane Equations for the Braneworld Gravity under the Schwarzschild Ansatz
Keiichi Akama, Takashi Hattori, Hisamitsu Mukaida
It is argued that the braneworld gravity under the Schwarzschild ansatz should obey three essential equations on the brane, and they are solved exactly. We express the general solu…
General Solution for the Static, Spherical and Asymptotically Flat Braneworld
Keiichi Akama, Takashi Hattori, Hisamitsu Mukaida
The general solution for the static, spherical and asymptotically flat braneworld is derived by solving the bulk Einstein equation and braneworld dynamics. We show that it involves…
General Solutions of Braneworlds under the Schwarzschild Ansatz
Keiichi Akama, Takashi Hattori, Hisamitsu Mukaida
General solutions for braneworld dynamics coupled with the bulk Einstein equation are derived under the Schwarzschild ansatz. They relate the brane metric to the exterior configura…