A new way to deal with fermions in Monte Carlo simulations

Details A new way to deal with fermions in Monte Carlo simulations A new way to deal with fermions in Monte Carlo simulations

2001-05-09

arxiv.org/abs/hep-lat/0105008v2

Phys.Lett. B519 (2001) 277-284

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, latex, one section added, references corrected

Scientific paper

10.1016/S0370-2693(01)01126-1

An exact, nonlocal, finite step-size algorithm for Monte Carlo simulation of theories with dynamical fermions is proposed. The algorithm is based on obtaining the new configuration U' from the old one U by solving the equation $ M(U') \eta = \omega M(U) \eta$, where $M$ is fermionic operator, $\eta$ is random Gaussian vector, and $\omega$ is random real number close to unity. This algorithm can be used for the acceleration of current simulations in theories with Grassmann variables. A first test was done for SU(3) QCD with purely fermionic term in the action.

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