2018/12/01 by Ryo Sakai, Sakai, Ryo, Daisuke Kadoh +10
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Extrapolation #FOS: Physical sciences #Geometry #Granularity #High Energy Physics - Lattice (hep-lat) #Lattice (music) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Monte Carlo method #Physics #Quantum Chromodynamics and Particle Interactions #Renormalization group #Statistical physics #Statistics #Tensor (intrinsic definition) #Theoretical and Computational Physics #Theoretical physics #hep-lat
paper · pdf · doi:10.48550/arxiv.1812.00166
published in arXiv (Cornell University) (Cornell University) · 7 pages, 5 figures, talk presented at the 36th International Symposium on Lattice Field Theory (Lattice 2018), 22-28 July, 2018, Michigan, USA
arxiv created 2018/12/01 · openalex publication_date 2018/12/01 · arxiv updated 2018/12/04 · openalex created_date 2018/12/11 · openalex updated_date 2026/08/06
The tensor renormalization group attracts great attention as a new numerical method that is free of the sign problem. In addition to this striking feature, it also has an attractive aspect as a coarse-graining of space-time; the computational cost scales logarithmically with the space-time volume. This fact allows us to aggressively approach the thermodynamic limit. While taking this advantage, we study the critical coupling of the two dimensional ϕ4 theory on large and fine lattices. We present the numerical results along with the extrapolation procedure to the continuum limit and compare them with the previous ones by Monte Carlo simulations.