14–18 Jul 2015
Kobe International Conference Center
Asia/Tokyo timezone

Tensor renormalization group analysis of CP(N-1) model in two dimensions

15 Jul 2015, 17:50
20m
406 (Kobe International Conference Center)

406

Kobe International Conference Center

6-9-1 Minatojima-nakamachi, Chuo-ku, Kobe, Hyogo 650-0046, Japan
Talk Theoretical Developments Theoretical Developments

Speaker

Mr Hikaru Kawauchi (Kanazawa University)

Description

We apply the tensor renormalization group (TRG) method to the lattice CP(N-1) model in two dimensions. A tensor network representation of this model is derived for arbitrary N. For N=2, we compute the average energy by using the higher-order TRG. We compare it with the result of the O(3) nonlinear sigma model in two dimensions which is analyzed by the same method. Finally, we discuss the tensor network representation in the presence of the theta term.

Primary author

Mr Hikaru Kawauchi (Kanazawa University)

Co-author

Dr Shinji TAKEDA (Kanazawa University)

Presentation materials