TY  - JOUR
A1  - Kim, Jangho
A1  - Pham, Anh Quang
A1  - Philipsen, Owe
A1  - Scheunert, Jonas
T1  - The SU(3) spin model with chemical potential by series expansion techniques
T2  - Journal of high energy physics
N2  - The SU(3) spin model with chemical potential corresponds to a simplified version of QCD with static quarks in the strong coupling regime. It has been studied previously as a testing ground for new methods aiming to overcome the sign problem of lattice QCD. In this work we show that the equation of state and the phase structure of the model can be fully determined to reasonable accuracy by a linked cluster expansion. In particular, we compute the free energy to 14-th order in the nearest neighbour coupling. The resulting predictions for the equation of state and the location of the critical end points agree with numerical determinations to O(1%) and O(10%), respectively. While the accuracy for the critical couplings is still limited at the current series depth, the approach is equally applicable at zero and non-zero imaginary or real chemical potential, as well as to effective QCD Hamiltonians obtained by strong coupling and hopping expansions.
KW  - Effective Field Theories
KW  - Lattice Quantum Field Theory
Y1  - 2020
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/70161
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-701611
SN  - 1029-8479
SN  - 1126-6708
VL  - 2020
IS  - 51
PB  - Springer
CY  - Berlin ; Heidelberg
ER  -