Improvements of Lüscher's local bosonic fermion algorithm

Improvements of the Local Bosonic Algorithm

Since its proposal in [1], the local bosonic fermion method has been thoroughly investigated and improved [2–5,9–14]. We report here on some improvements, especially the efficient implementation of preconditioning techniques, and give more detailed information on the comparison of this algorithm to the Kramers algorithm presented in [15]. As in [2], all investigations were made with the gauge g...

Multi - bosonic algorithms for dynamical fermion simulations ∗

Non-hermitian Exact Local Bosonic Algorithm for Dynamical Quarks

We present an exact version of the local bosonic algorithm for the simulation of dynamical quarks in lattice QCD. This version is based on a non-hermitian polynomial approximation of the inverse of the quark matrix. A Metropolis test corrects the systematic errors. Two variants of this test are presented. For both of them, a formal proof is given that this Monte Carlo algorithm converges to the...

M ar 1 99 6 Exact Local Bosonic Algorithm for Full QCD

We present an exact local bosonic algorithm for the simulation of dynamical fermions in lattice QCD. It is based on a non-hermitian polynomial approximation of the inverse of the quark matrix and a global Metropolis accept/reject correction of the systematic errors. We show that this algorithm is a real alternative to the Hybrid Monte Carlo algorithm.

Bosonic Structure of a 2-Dimensional Fermion Model with Interaction among Different Speices

We study a massive Thirring-like model in 2-dimensional space-time, which contains two different species of fermions. This model is a field theoretical version of the quantum mechanical model originally proposed by Glöckle, Nogami and Fukui, where different fermions interact with each other through δ-function potentials. We derive a corresponding boson model by the bosonization technique in the...