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.
- Publication:
-
Proceedings of the 30th International Symposium on Lattice Field Theory. June 24-29
- Pub Date:
- 2012
- DOI:
- 10.22323/1.164.0088
- arXiv:
- arXiv:1211.2282
- Bibcode:
- 2012slft.confE..88O
- Keywords:
-
- High Energy Physics - Lattice;
- High Energy Physics - Phenomenology;
- Nuclear Theory
- E-Print:
- Presented at the 30th International Symposium on Lattice Field Theory (Lattice 2012), Cairns, Australia, June 24-29, 2012