The successes and limitations of statistical sampling for a sequence of models studied in the
context of lattice QCD are discussed and the need for new methods to deal with finite …

Formulating gauge theories on a lattice offers a genuinely non-perturbative way of studying
quantum field theories, and has led to impressive achievements. In particular, it significantly …

We propose a different tensor renormalization group algorithm, anisotropic tensor
renormalization group (ATRG), for lattice models in arbitrary dimensions. The proposed …

Renormalization group theory of tensor network states provides a powerful tool for studying
quantum many-body problems and a new paradigm for understanding entangled structures …

We numerically study the spectral properties, the entanglement and the zero-temperature
phase structure at nonvanishing chemical potential of the O (3) nonlinear sigma model …

We present a spectroscopy scheme for the lattice field theory by using the tensor
renormalization group method combining with the transfer matrix formalism. By using the …

A bstract We analyze the chiral phase transition of the Nambu-Jona-Lasinio model in the
cold and dense region on the lattice, developing the Grassmann version of the anisotropic …

A bstract We show how to apply renormalization group algorithms incorporating
entanglement filtering methods and a loop optimization to a tensor network which includes …

We propose an improved tensor renormalization-group (TRG) algorithm, the bond-weighted
TRG (BTRG). In BTRG, we generalize the conventional TRG by introducing bond weights on …

A bstract We investigate the entanglement and Rényi entropies for the (1+ 1)-dimensional O
(3) nonlinear sigma model using the tensor renormalization group method. The central …