# XQCD 2019 (The 17th International Conference on QCD in Extreme Conditions)

24-26 June 2019
Bunkyo School Building, Tokyo Campus, University of Tsukuba
Japan timezone

## Linked cluster expansion method for the SU(3) spin models

24 Jun 2019, 17:00
2h
122 (Bunkyo School Building, Tokyo Campus, University of Tsukuba)

### 122

#### Bunkyo School Building, Tokyo Campus, University of Tsukuba

3-29-1 Otsuka Bunkyo-ku Tokyo 112-0012 Japan
Board: 21
Poster

### Speaker

Mr Anh Quang Pham (Goethe University Frankfurt)

### Description

An $SU(3)$ spin model is often used in the literature as a first step to deal with QCD at finite chemical potential. It approximates full lattice QCD in the strong coupling and large fermion-mass limit. We describe a series expansion method called Linked Cluster Expansion (LCE), and how to apply it to the spin model. The results are series of several couplings, which we analyze by generalized Padé approximants, called Partial Differential Approximants (PDAs). This method allows complex multi-critical behavior of quark matter to be investigated. We compare our results with those from complex Langevin and flux representation. We also indicate a couple of open problems.

### Primary author

Mr Anh Quang Pham (Goethe University Frankfurt)

 Poster