Self-learning Monte-Carlo for non-abelian gauge theory with dynamical fermions

Understand

In this paper, we develop the self-learning Monte-Carlo (SLMC) algorithm for non-abelian gauge theory with dynamical fermions in four dimensions to resolve the autocorrelation problem in lattice QCD.

• We perform simulations with the dynamical staggered fermions and plaquette gauge action by both in HMC and SLMC for zero and finite temperature to examine the validity of SLMC.
• We confirm that SLMC can reduce autocorrelation time in non-abelian gauge theory and reproduces results from HMC.
• For finite temperature runs, we confirm that SLMC reproduces correct results with HMC, including higher-order moments of the Polyakov loop and the chiral condensate.