3 papers
hep-lat2026
Forward-mode automatic differentiation for the tensor renormalization group and its relation to the impurity method
Yuto Sugimoto
We propose a forward-mode automatic differentiation (AD) framework for tensor renormalization group methods. In this approach, evaluating the derivatives of the partition function…
hep-lat2025
Triad representation for the anisotropic tensor renormalization group in four dimensions
Yuto Sugimoto, Shoichi Sasaki
The development of tensor renormalization group (TRG) algorithm in higher dimensions is an important and urgent task, as the TRG is expected to provide a way to overcome the sign p…
hep-lat2025
Applying the Triad network representation to four-dimensional ATRG method
Yuto Sugimoto, Shoichi Sasaki
Anisotropic Tensor Renormalization Group (ATRG) is a powerful algorithm for four-dimensional tensor network calculations. However, the larger bond dimensions are known to be diffic…