The SU(3) spin model with chemical potential by series expansion techniques
arXiv:2007.04187 · doi:10.1007/JHEP10(2020)051
Abstract
The 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 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 point agree with numerical determinations to and , 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.
arXiv comment22 pages, 7 figures, 5 tables, ancillary files for reproduction of plots included; updated table 4 and figure 6 (not substantial changes), new subsection and appendix, two new figures, one new table, typos corrected, version accepted for publication
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