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 …

We propose a method to construct a tensor network representation of partition functions
without singular value decompositions nor series expansions. The approach is …

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 …