Abstract
The sign problem appears in lattice QCD as soon as a non-zero chemical potential is introduced. This prevents direct simulations to determine the phase structure of the strongly interacting matter. Complex Langevin methods have been successfully used for various models or approximations of QCD. However, in some scenarios it converges to incorrect results. We present developments of our new method that helps to improve the convergence by keeping the system closer to the SU(3) manifold and discuss preliminary tests and results.
Highlights
Sign problems have been found, and obstructed progress, in many areas of physics
We presented an update on applications of the method of Dynamic Stabilisation
We studied the effects on the drifts appearing in complex Langevin simulation of heavy dense approximation of QCD (HDQCD)
Summary
Sign problems have been found, and obstructed progress, in many areas of physics. One of the most famous examples is QCD with non-vanishing Baryon chemical potential in Euclidean spacetime. It has been shown that Complex Langevin methods are applicable even when the sign problem is severe [1,2,3,4,5]. Simulations with smaller gauge couplings, typically below β ∼ 5.8, do not converge to the correct results. To tackle this issue we have introduced an additional force, named Dynamic Stabilisation [16], which is expected to vanish in the continuum limit. In the following we present an update on our studies of dynamic stabilisation for QCD in the limit of heavy quarks, and apply it to the XY model at finite chemical potential [17]
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