55 citations · 291 across the 30 of their papers we have counts for
30 papers
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…
Tensor renormalization group approach to the models via symmetry-twisted partition functions
Shinichiro Akiyama, Raghav G. Jha, Jun Maeda +2
We investigate critical phenomena in the models using symmetry-twisted partition functions that can be efficiently computed within the tensor renormalization group framework…
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…
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.…
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…
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…
Phase structure of (3+1)-dimensional dense two-color QCD at in the strong coupling limit with the tensor renormalization group
Yuto Sugimoto, Shinichiro Akiyama, Yoshinobu Kuramashi
We investigate the phase structure of the (3+1)-dimensional strong coupling two-color QCD at zero temperature () with finite chemical potential using the tensor renormalizatio…
Two-color lattice QCD in dimensions with Grassmann tensor renormalization group
Kwok Ho Pai, Shinichiro Akiyama, Synge Todo
The -dimensional two-color lattice QCD is studied with the Grassmann tensor renormalization group. We construct tensor network representations of theories with the staggered…
Tensor renormalization group study of the two-dimensional lattice U(1) gauge-Higgs model with a topological term under Lüscher's admissibility condition
Shinichiro Akiyama, Yoshinobu Kuramashi
We investigate the two-dimensional lattice U(1) gauge-Higgs model with a topological term, employing Lüscher's admissibility condition. The standard Monte Carlo simulation for this…
Grassmann Tensor Renormalization Group for two-flavor massive Schwinger model with a theta term
Hayato Kanno, Shinichiro Akiyama, Kotaro Murakami +1
We investigate the Schwinger model with the massive staggered fermions in the presence of a periodic term, using the Grassmann tensor renormalization group. Thanks…
Grassmann tensor renormalization group for the massive Schwinger model with a term using staggered fermions
Hayato Kanno, Shinichiro Akiyama, Kotaro Murakami +1
We use the Grassmann tensor renormalization group method to investigate the Schwinger model with the staggered fermions in the presence of a periodic term in a bro…
Grassmann tensor renormalization group approach to -dimensional two-color lattice QCD at finite density
Kwok Ho Pai, Shinichiro Akiyama, Synge Todo
We construct a Grassmann tensor network representing the partition function of (1+1)-dimensional two-color QCD with staggered fermions. The Grassmann path integral is rewritten as…
Tensor renormalization group study of (1+1)-dimensional U(1) gauge-Higgs model at with Lüscher's admissibility condition
Shinichiro Akiyama, Yoshinobu Kuramashi
We investigate the phase structure of the (1+1)-dimensional U(1) gauge-Higgs model with a term, where the U(1) gauge action is constructed with Lüscher's admissibility conditio…
Tensor Renormalization Group for fermions
Shinichiro Akiyama, Yannick Meurice, Ryo Sakai
We review the basic ideas of the Tensor Renormalization Group method and show how they can be applied for lattice field theory models involving relativistic fermions and Grassmann…
Tensor renormalization group study of 3D principal chiral model
Shinichiro Akiyama, Raghav G. Jha, Judah Unmuth-Yockey
We study the three-dimensional principal chiral model (PCM) using different tensor renormalization group methods based on the triad and anisotropic decomposition of the ten…
Implementation of bond weighting method for the Grassmann tensor renormalization group
Shinichiro Akiyama
We demonstrate the efficiency of the bond weighting method for the Grassmann tensor renormalization group (TRG). Benchmarking with the two-dimensional Gross-Neveu model with the Wi…
Critical endpoint of (3+1)-dimensional finite density gauge-Higgs model with tensor renormalization group
Shinichiro Akiyama, Yoshinobu Kuramashi
The critical endpoint of the (3+1)-dimensional gauge-Higgs model at finite density is determined by the tensor renormalization group method. This work is an extension of the…
Matrix product decomposition for two- and three-flavor Wilson fermions: Benchmark results in the lattice Gross-Neveu model at finite density
Shinichiro Akiyama
We formulate the path integral of two- and three-flavor Wilson fermion in two dimensions as a multilayer Grassmann tensor network by the matrix product decomposition. Thanks to thi…
Bond-weighting method for the Grassmann tensor renormalization group
Shinichiro Akiyama
Recently, the tensor network description with bond weights on its edges has been proposed as a novel improvement for the tensor renormalization group algorithm. The bond weight is…
Tensor renormalization group study of (3+1)-dimensional gauge-Higgs model at finite density
Shinichiro Akiyama, Yoshinobu Kuramashi
We investigate the critical endpoints of the (3+1)-dimensional gauge-Higgs model at finite density together with the (2+1)-dimensional one at zero density as a benchmark usin…
Quantum Field Theories with Tensor Renormalization Group
Shinichiro Akiyama, Yoshinobu Kuramashi, Yusuke Yoshimura
We report recent progress on the application of the tensor renormalization group (TRG) to quantum field theories pursued by the Tsukuba group. We explain how to treat the scalar, f…
Metal-insulator transition in (2+1)-dimensional Hubbard model with tensor renormalization group
Shinichiro Akiyama, Yoshinobu Kuramashi, Takumi Yamashita
We investigate the doping-driven metal-insulator transition of the (2+1)-dimensional Hubbard model in the path-integral formalism with the tensor renormalization group method. We c…
Tensor renormalization group approach to (1+1)-dimensional Hubbard model
Shinichiro Akiyama, Yoshinobu Kuramashi
We investigate the metal-insulator transition of the (1+1)-dimensional Hubbard model in the path-integral formalism with the tensor renormalization group method. The critical chemi…