[Submitted on 10 Nov 2023] (cross-list from hep-th)
Heavy-dense QCD, sign optimization and Lefschetz thimbles
Gokce Basar🇺🇸 · Joseph Marincel🇺🇸
We study the heavy-dense limit of QCD on the lattice with heavy quarks at high density. The effective three dimensional theory has a sign problem which is alleviated by sign optimization where the path integration domain is deformed in complex space in a way that minimizes the phase oscillations. We simulate the theory via a Hybrid-Monte-Carlo, for different volumes, both to leading order and next-to-next-to leading order in the hopping expansion, and show that sign optimization successfully mitigates the sign problem at large enough volumes where usual re-weighting methods fail. Finally we show that there is a significant overlap between the complex manifold generated by sign optimization and the Lefschetz thimbles associated with the theory.
- Comments:
- 13 pages, 17 figures
- Subjects:
- High Energy Physics — Theory (hep-th); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
- arXiv:
- 2311.06343 [pdf]