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

Dynamical overlap fermions , results with hybrid Monte - Carlo algorithm

We present first, exploratory results of a hybrid Monte-Carlo algorithm for dynamical, n f =2, four-dimensional QCD with overlap fermions. As expected, the computational requirements are typically two orders of magnitude larger for the dynamical overlap formalism than for the more conventional (Wilson or staggered) formulations.

Speeding up the Hybrid-Monte-Carlo algorithm for dynamical fermions

In large scale simulations of lattice QCD with two flavours of mass-degenerate Wilson fermions, the mass of the fermions is still too large compared with the up and the down quark masses. Therefore a delicate extrapolation of the data is needed. Unfortunately, the numerical effort required for the Hybrid-Monte-Carlo (HMC) [1] algorithm increases as the quark mass decreases for, at least, three ...

Dynamical Fermions in Hamiltonian Lattice Gauge Theory

Nearly all lattice studies with dynamical fermions rely on pseudofermion techniques. This includes the standard Hybrid Monte Carlo method for non-local boson actions [1] and more recently multiboson methods proposed by Lüscher [2] and extended to odd flavors by Boriçi and de Forcrand [3]. While these methods are presently the most efficient available for dynamical fermion calculations, much imp...

Monte Carlo evaluation of non-Abelian statistics.

We develop a general framework to (numerically) study adiabatic braiding of quasiholes in fractional quantum Hall systems. Specifically, we investigate the Moore-Read (MR) state at nu=1/2 filling factor, a known candidate for non-Abelian statistics, which appears to actually occur in nature. The non-Abelian statistics of MR quasiholes is demonstrated explicitly for the first time, confirming th...

Self-learning Monte Carlo method