Computing Lattice Field Theory by Tensor Networks―Challenge to Sign Problem

DOI

Bibliographic Information

Other Title
  • テンソルネットワークで格子場理論を計算する――符号問題への挑戦

Abstract

<p>We review how tensor networks are used in quantum field theory on the lattice. The striking feature of the method is free of the sign problem which is a serious drawback of the Monte Carlo method. In fact the tensor networks have been applied and verified mainly in two dimensional system. On the other hand, the computation cost of the tensor networks is known to be severe for higher dimensional system. Recently, however, thanks to the progress of the coarse-graining algorithm, tensor network studies of the four dimensional system with simple internal degree of freedom have just started. We hope that further algorithmic developments make the tensor network computation of lattice QCD feasible.</p>

Journal

  • Butsuri

    Butsuri 77 (3), 136-144, 2022-03-04

    The Physical Society of Japan

Details 詳細情報について

  • CRID
    1390010292897172864
  • DOI
    10.11316/butsuri.77.3_136
  • ISSN
    24238872
    00290181
  • Text Lang
    ja
  • Data Source
    • JaLC
  • Abstract License Flag
    Disallowed

Report a problem

Back to top