Jul 24 – 30, 2016
Highfield Campus, University of Southampton
Europe/London timezone

Tensor renormalization group approach to higher dimensional fermions

Jul 26, 2016, 6:10 PM
Building 67 Room 1003 (Highfield Campus, University of Southampton)

Building 67 Room 1003

Highfield Campus, University of Southampton

Talk Theoretical Developments Theoretical Developments


Mr Ryo Sakai (Kanazawa University)


We apply the higher order tensor renormalization group to two and three dimensional lattice fermion systems. To deal with the tensor network including Grassmann numbers, higher order Grassmann tensor renormalization group (HOGTRG) is introduced. Because of its deterministic property, HOGTRG is perfectly free of the sign problem. We analyze the well-known systems such as the Gross–Neveu model using HOGTRG, and test the validity of the new algorithm.

Primary author

Mr Ryo Sakai (Kanazawa University)


Dr Shinji Takeda (Kanazawa University)

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