13 papers
Tensor renormalization group study of cold and dense QCD in the strong coupling limit
Yuto Sugimoto, Shinichiro Akiyama, Yoshinobu Kuramashi
We study the phase structure of the (3+1)-dimensional cold and dense QCD with the Kogut--Susskind quark in the strong coupling limit using the tensor renormalization group method.…
Phase diagram of the single-flavor Gross--Neveu--Wilson model from the Grassmann corner transfer matrix renormalization group
Jian-Gang Kong, Shinichiro Akiyama, Tao Shi +1
We investigate the phase structure of the single-flavor Gross--Neveu model with Wilson fermions using the Grassmann corner transfer matrix renormalization group (CTMRG). The path i…
Deconfinement from Thermal Tensor Networks: Universal CFT signature in (2+1)-dimensional lattice gauge theory
Adwait Naravane, Yuto Sugimoto, Shinichiro Akiyama +2
Tensor networks offer a sign-problem-free approach to study lattice gauge theories, but extracting precise universal information associated with the deconfinement transition remain…
Congestion bounds via Laplacian eigenvalues and their application to tensor networks with arbitrary geometry
Sayan Mukherjee, Shinichiro Akiyama
Embedding the vertices of arbitrary graphs into trees while minimizing some measure of overlap is an important problem with applications in computer science and physics. In this wo…
Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions
Shinichiro Akiyama, Raghav G. Jha, Jun Maeda +2
The locality of field theories strongly constrains the possible behaviors of symmetry-twisted partition functions, and thus they serve as order parameters to detect low-energy real…
Renormalization group on tensor networks
Shinichiro Akiyama
We review recent developments in tensor network approaches, focusing on renormalization group methods. Since they are free from the negative sign and complex action problems, there…