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22-28 July 2018
Kellogg Hotel and Conference Center
EST timezone

Tensor network study of two dimensional lattice $\phi^{4}$ theory

Jul 26, 2018, 9:30 AM
107 (Kellogg Hotel and Conference Center)


Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824
Theoretical Developments Theoretical Developments


Mr Ryo Sakai (Kanazawa University)


The tensor renormalization group attracts great attention as a new numerical method because it is free of the sign problem. In addition to this striking feature, it has also an attractive aspect as a coarse-graining of space-time; that is to say, 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 in the continuum limit of the two dimensional lattice $\phi^{4}$ theory. 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 and other tensor network schemes.

Primary author

Mr Ryo Sakai (Kanazawa University)


Dr Daisuke Kadoh (Keio University) Dr Shinji Takeda (Kanazawa University) Dr Yoshifumi Nakamura (RIKEN R-CCS) Prof. Yoshinobu Kuramashi (CCS, University of Tsukuba) Dr Yusuke Yoshimura (CCS, University of Tsukuba)

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