The 34th International Symposium on Lattice Field Theory (Lattice 2016)

Tensor renormalization group approach to higher dimensional fermions

26 Jul 2016, 18:10

20m

Building 67 Room 1003 (Highfield Campus, University of Southampton)

Talk Theoretical Developments Theoretical Developments

Speaker

Mr Ryo Sakai (Kanazawa University)

Description

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.