Full QCD with the L\"uscher local bosonic action
C. Alexandrou, A. Borrelli, Ph. de Forcrand, A. Galli, F. Jegerlehner

TL;DR
This paper evaluates L"uscher's local bosonic action method for simulating full QCD with dynamical Wilson fermions, comparing its accuracy and efficiency to Hybrid Monte Carlo techniques.
Contribution
It introduces an improved L"uscher algorithm with a global Metropolis step and demonstrates its competitive complexity and accuracy against HMC methods.
Findings
L"uscher's method achieves comparable accuracy to HMC in measuring gauge observables.
The modified algorithm with a Metropolis step improves efficiency.
L"uscher's approach has favorable complexity for full QCD simulations.
Abstract
We investigate L\"uscher's method of including dynamical Wilson fermions in a lattice simulation of QCD with two quark flavours. We measure the accuracy of the approximation by comparing it with Hybrid Monte Carlo results for gauge plaquette and Wilson loops. We also introduce an additional global Metropolis step in the update. We show that the complexity of L\"uscher's algorithm compares favourably with that of the Hybrid Monte Carlo.
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