116 citations · 589 across the 46 of their papers we have counts for
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Renormalization Group Approach to Discretized Gravity
S. Higuchi, C. Itoi, S. Nishigaki +1
We summarize our renormalization group approach for the vector model as well as the matrix model which are the discretized quantum gravity in one- and two-dimensional spacetime. A…
Renormalization Group Approach to Matrix Models and Vector Models
Saburo Higuchi, Chigak Itoi, Norisuke Sakai
The renormalization group approach is studied for large models. The approach of Brézin and Zinn-Justin is explained and examined for matrix models. The validity of the approach…
Nonlinear Renormalization Group Equation for Matrix Models
Saburo Higuchi, Chigak Itoi, Shinsuke Nishigaki +1
An exact renormalization group equation is derived for the free energy of matrix models. The renormalization group equation turns out to be nonlinear for matrix models, as opposed…
Exact Beta Functions in the Vector Model and Renormalization Group Approach
Saburo Higuchi, Chigak Itoi, Norisuke Sakai
The validity of the renormalization group approach for large is clarified by using the vector model as an example. An exact difference equation is obtained which relates free e…