Speaker
d. k. sinclair
(argonne national laboratory)
Description
Recent advances in applying complex-Langevin simulations to gauge theories with complex actions, in particular gauge-cooling, have revived interest in using these methods for QCD at finite baryon-number density. QCD at a finite chemical potential $\mu$ for quark number has a complex fermion determinant which prevents use of standard simulation techniques. Complex-Langevin simulations show promise for simulating this theory. We describe our preliminary investigations in applying complex-Langevin simulations to lattice QCD at finite $\mu$. We use a complex extension of the partial second-order approach to Langevin simulations of Fukugita, Ukawa and others, using staggered fermions. Our current studies are of 2-flavour lattice QCD at finite $\mu$ at zero temperature on a $12^4$ lattice. Of special interest is if we can observe the expected transition at $\mu \approx m_N/3$, and whether there is a spurious transition at $\mu \approx m_\pi/2$. Finite-temperature simulations at finite $\mu$ are also planned.
Primary author
d. k. sinclair
(argonne national laboratory)
Co-author
j. b. kogut
(DOE, university of maryland)