Anatomy of the sign-problem in heavy-dense QCD

Abstract

QCD at finite densities of heavy quarks is investigated using the density-of-states method. The phase factor expectation value of the quark determinant is calculated to unprecedented precision as a function of the chemical potential. Results are validated using those from a reweighting approach where the latter can produce a significant signal-to-noise ratio. We confirm the particle-hole symmetry at low temperatures, find a strong sign problem at intermediate values of the chemical potential, and an inverse Silver Blaze feature for chemical potentials close to the onset value: here, the phase quenched theory underestimates the density of the full theory.

15 pages, 16 figures

References in corpus (4)

• The density of states in gauge theories
• The density of states approach to dense quantum systems
• Method for simulating O(N) lattice models at finite density
• Fermion bag approach to the sign problem in strongly coupled lattice QED with Wilson fermions

Cited by in corpus (20)

• Review on novel methods for lattice gauge theories
• One-dimensional QCD in thimble regularization
• Dynamical stabilisation of complex Langevin simulations of QCD
• Leveraging Machine Learning to Alleviate Hubbard Model Sign Problems
• Topological susceptibility of pure gauge theory using Density of States
• Controlling the Sign Problem in Finite Density Quantum Field Theory
• Density of States FFA analysis of SU(3) lattice gauge theory at a finite density of color sources
• Developing and testing the density of states FFA method in the SU(3) spin model
• Flow-based density of states for complex actions
• Free energy of the self-interacting relativistic lattice Bose gas at finite density
• A density of states approach to the hexagonal Hubbard model at finite density
• New DoS approaches to finite density lattice QCD
• A Hybrid-Monte-Carlo study of monolayer graphene with partially screened Coulomb interactions at finite spin density
• Density of states approach for lattice gauge theory with a $\theta$-term
• Towards a theoretical description of dense QCD
• Reduced critical slowing down for statistical physics simulations
• Real Time Simulations of Quantum Spin Chains: Density-of-States and Reweighting approaches
• New canonical and grand canonical DoS techniques for finite density lattice QCD
• The density of states approach to the sign problem
• Functional Fit Approach (FFA) for Density of States method: SU(3) spin system and SU(3) lattice gauge theory with static color sources