In this work, we proposed a new algorithm of the tensor renormalization group in four-dimensions, and showed improvement in computation time. We also performed parallel calculations on multiple-GPUs.
This is my master's thesis. I reviewed in detail the tensor renormalization group method and proposed a new faster algorithm called Triad-ATRG, and discussed its validity. I also suggested the existence of logarithmic scaling at the critical point of the 4D Ising model by numerical calculations.