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# 36th Annual International Symposium on Lattice Field Theory

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
20m
107 (Kellogg Hotel and Conference Center)

### 107

#### Kellogg Hotel and Conference Center

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

### Speaker

Mr Ryo Sakai (Kanazawa University)

### Description

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)

### Co-authors

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)

### Presentation Materials

There are no materials yet.