Speaker
Donald Sinclair
(Argonne National Laboratory)
Description
We are applying complex-Langevin simulations to lattice QCD at finite
quark-number chemical potential $\mu$ and zero temperature. While we observe
some improvement as we move to weaker coupling we only find agreement with the
expected physics at very small and at large $\mu$. It has been observed by
others that at least part of the problem is that at small and even zero $\mu$
the gauge fields show large departures from the $SU(3)$ manifold. We are
therefore quantifying how these departures depend on the size of the gauge
coupling and the quark mass. It appears that these departures decrease as we
move to weaker couplings and to smaller quark masses. One might ask whether
this means that the complex Langevin will produce correct results in the
continuum limit.
We are also extending our simulations to finite $\mu$ and temperature where
it is believed that the complex Langevin should be better behaved.
Primary authors
Donald Sinclair
(Argonne National Laboratory)
Dr
J. B. Kogut
(DOE/University of Maryland)