Auxiliary field Monte-Carlo study of the QCD phase diagram at strong coupling
Abstract
We investigate the QCD phase diagram in the strong coupling limit by using a newly developed auxiliary field Monte-Carlo (AFMC) method. Starting from an effective action in the leading order of the 1/g^2 and 1/d expansion with one species of unrooted staggered fermion, we solve the many-body problem exactly by introducing the auxiliary fields and integrating out the temporal links and quark fields. We have a sign problem in AFMC, which is different from the original one in finite density lattice QCD. For low momentum auxiliary field modes, a complex phase cancellation mechanism exists, and the sign problem is not serious on a small lattice. Compared with the mean field results, the transition temperature is found to be reduced by around 10 % and the hadron phase is found to be extended in the larger chemical potential direction by around 20 %, as observed in the monomer-dimer-polymer (MDP) simulations.
Keywords
Cite
@article{arxiv.1211.2282,
title = {Auxiliary field Monte-Carlo study of the QCD phase diagram at strong coupling},
author = {Akira Ohnishi and Terukazu Ichihara and Takashi Z. Nakano},
journal= {arXiv preprint arXiv:1211.2282},
year = {2012}
}
Comments
Presented at the 30th International Symposium on Lattice Field Theory (Lattice 2012), Cairns, Australia, June 24-29, 2012