Research — Quantum chromodynamics at non-zero baryon density
Summary: A long-standing challenge for lattice gauge theory is the analysis of systems with many more particles than anti-particles. For example, in neutron stars there is a high density of baryons (protons and neutrons) with relatively few anti-baryons. In lattice calculations that use standard importance sampling algorithms this leads to the appearance of nonsensical negative probabilities, which is known as a sign problem. I recently began exploring novel algorithmic approaches designed to reduce the severity of sign problems in lattice calculations.
Image: Results for the critical chemical potential μ of the three-dimensional Potts model, from canonical calculations which fix the number of baryons in the system to be ρ times the lattice volume. The Maxwell construction identifies the critical μ as the value for which the two shaded areas in the S curve are equal.
A longer discussion of this project will soon be completed in December 2017.
Last modified 15 December 2017